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Example 1: cosine ratio. Below is a circle with centre CC. Points A, B, C, A,B,C, and DD are on the circumference of the circle. The chord ABAB is perpendicular to the line CDC D at the point EE. The line AEAE is 5cm5cm and angle ADE = 71°ADE = 71°. Calculate the length of the line BCBC correct to 11 decimal place.
The standard equation of a circle centered about the origin is x 2 + y 2 = r 2. We can see this by plugging (0, 0) in for (h, k) in the standard equation of a circle. We can also derive this equation as follows. Given that point (x, y) lies on a circle with radius r centered at the origin of the coordinate plane, it forms a right triangle with ...
3 Αυγ 2023 · Parts and Properties. Parts of a Circle. 1) Radius – The line that joins the center of the circle to the outer boundary. It is usually represented by ‘ r ’ or ‘ R ’. The plural of radius is called radii. 2) Diameter – The line segment whose endpoints lie on the circle and that passes through the center. Its length is twice the ...
Example 3: A tabletop is in the shape of a circle. If the radius of the tabletop is 21 inches, find the area of the tabletop. Solution: Given: r = 21 inches, π = 22/7. Using the formula, Area = πr 2 ⇒ A = 22/7 × 21 × 21 = 1386 square inches. Therefore, the area of the tabletop is 1386 square inches.
A circle forms a curve with a definite length, called the circumference, and it encloses a definite area. The similarity of any two circles is the basis of the definition of π, the ratio of the circumference and the diameter of any circle. We saw in the module, The Circles that if a circle has radius r, then.
A sector of a circle is called the minor sector if the minor arc of the circle is a part of its boundary. It is the sector with a smaller area. The angle of a minor sector is less than 180 degrees. Major Sector. A sector is called the major sector if the major arc of the circle is a part of its boundary. It is the sector with the greater area.
A circle is all points in a plane that are a fixed distance from a given point on the plane. The given point is called the center, and the fixed distance is called the radius. The standard form of the equation of a circle with center (h,k) ( h, k) and radius r r is (x−h)2+(y−k)2 = r2 ( x − h) 2 + ( y − k) 2 = r 2.
