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17-503: The shoreline in the area features white sand beaches and offshore coral formations arranged in different bays and beaches: Garoda Beach, Turtle Bay, Blue Lagoon Bay, Watamu Bay, Ocean Breeze, Kanani reef, and Jacaranda beach. They are protected as part of the Watamu Marine National Park . The Marine Park is considered one of the best snorkeling and diving areas on the coast of East Africa . In order to assist

34-465: A and b , and then connecting their common endpoint to the semicircle with a segment perpendicular to the diameter. The length of the resulting segment is the geometric mean. This can be proven by applying the Pythagorean theorem to three similar right triangles, each having as vertices the point where the perpendicular touches the semicircle and two of the three endpoints of the segments of lengths

51-477: A and b . The construction of the geometric mean can be used to transform any rectangle into a square of the same area, a problem called the quadrature of a rectangle. The side length of the square is the geometric mean of the side lengths of the rectangle. More generally, it is used as a lemma in a general method for transforming any polygonal shape into a similar copy of itself with the area of any other given polygonal shape. The Farey sequence of order n

68-402: A semicircle is a one-dimensional locus of points that forms half of a circle . It is a circular arc that measures 180° (equivalently, π radians , or a half-turn ). It only has one line of symmetry ( reflection symmetry ). In non-technical usage, the term "semicircle" is sometimes used to refer to either a closed curve that also includes the diameter segment from one end of the arc to

85-499: A variety of shoreline characteristics as other shorelines. In some cases, bays have beaches , which "are usually characterized by a steep upper foreshore with a broad, flat fronting terrace". Bays were significant in the history of human settlement because they provided easy access to marine resources like fisheries . Later they were important in the development of sea trade as the safe anchorage they provide encouraged their selection as ports . The United Nations Convention on

102-463: Is a recessed, coastal body of water that directly connects to a larger main body of water, such as an ocean , a lake , or another bay. A large bay is usually called a gulf , sea , sound , or bight . A cove is a small, circular bay with a narrow entrance. A fjord is an elongated bay formed by glacial action. The term embayment is also used for related features , such as extinct bays or freshwater environments. A bay can be

119-423: Is the sequence of completely reduced fractions which when in lowest terms have denominators less than or equal to n , arranged in order of increasing size. With a restricted definition, each Farey sequence starts with the value 0, denoted by the fraction ⁠ 0 / 1 ⁠ , and ends with the fraction ⁠ 1 / 1 ⁠ . Ford circles can be constructed tangent to their neighbours, and to

136-408: Is the world's largest bay. Bays also form through coastal erosion by rivers and glaciers . A bay formed by a glacier is a fjord . Rias are created by rivers and are characterised by more gradual slopes. Deposits of softer rocks erode more rapidly, forming bays, while harder rocks erode less quickly, leaving headlands . Semi-circle In mathematics (and more specifically geometry ),

153-594: The estuary of a river, such as the Chesapeake Bay , an estuary of the Susquehanna River . Bays may also be nested within each other; for example, James Bay is an arm of Hudson Bay in northeastern Canada . Some large bays, such as the Bay of Bengal and Hudson Bay, have varied marine geology . The land surrounding a bay often reduces the strength of winds and blocks waves . Bays may have as wide

170-513: The 13th Century. Watamu is home to the Bajuni people; who trace their origins to intermarriage between the local Giriama People and Arab traders. As of now, various tribes from inland Kenya such as the Luo, Kisii, Kikuyu, Kamba, Kalenjin, and Luhyas have all migrated to the area to work in the hotel industry. Notable people include: Masha Mapenzi 's album which is titled Uhiko. Part of the events in

187-503: The Law of the Sea defines a bay as a well-marked indentation in the coastline, whose penetration is in such proportion to the width of its mouth as to contain land-locked waters and constitute more than a mere curvature of the coast. An indentation, however, shall not be regarded as a bay unless its area is as large as (or larger than) that of the semi-circle whose diameter is a line drawn across

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204-432: The center of the circle containing the given semicircle. A semicircle can be used to construct the arithmetic and geometric means of two lengths using straight-edge and compass. For a semicircle with a diameter of a + b , the length of its radius is the arithmetic mean of a and b (since the radius is half of the diameter). The geometric mean can be found by dividing the diameter into two segments of lengths

221-676: The managing authorities namely the Kenyan Wildlife Service, in protecting the Park, local community groups, the tourist sector and environmental groups have formed a unique organisation Watamu Marine Association . Members of this group are Turtle Bay , Hemingways , Ocean Sports , Arocha Kenya, Lonno Lodge , Mida Community Conservation group, Watamu Boat Operators, Safari Sellers and women's group. The ruins of Gedi (also known as Gede) are located near Watamu. According to archaeological findings, Watamu has been inhabited since

238-458: The mouth of that indentation — otherwise it would be referred to as a bight . There are various ways in which bays can form. The largest bays have developed through plate tectonics . As the super-continent Pangaea broke up along curved and indented fault lines, the continents moved apart and left large bays; these include the Gulf of Guinea , the Gulf of Mexico , and the Bay of Bengal , which

255-678: The novel “Our Wild Sex in Malindi” (by Andrei Gusev ) takes place in Watamu. The novel describes a few years living in the Malindi 's suburb of Russian writer Andy and his wife, Jennifer, who was born in Kenya. A newly discovered species of the largest spitting cobra in the world ( Naja ashei ) was recently (2007) discovered in Watamu. 3°21′S 40°01′E  /  3.350°S 40.017°E  / -3.350; 40.017 Bay A bay

272-443: The other or to the half- disk , which is a two-dimensional geometric region that further includes all the interior points. By Thales' theorem , any triangle inscribed in a semicircle with a vertex at each of the endpoints of the semicircle and the third vertex elsewhere on the semicircle is a right triangle , with a right angle at the third vertex. All lines intersecting the semicircle perpendicularly are concurrent at

289-401: The x-axis at these points. Semicircles joining adjacent points on the x-axis pass through the points of contact at right angles. The equation of a semicircle with midpoint ( x 0 , y 0 ) {\displaystyle (x_{0},y_{0})} on the diameter between its endpoints and which is entirely concave from below is If it is entirely concave from above,

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