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22. Find the area of the minor segment of a circle of radius 28 cm, if the length ofthe corresponding arc APB is 44 cm. (Use ĎOR |
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Answer» Solution:- Area of the segment = Area of the sector - Area of the triangleArea of the sector =θ/360°πr²Area of the triangle = 1/2*AB*sinθHere, the length of the arc = 44 cmRadius = 28 cmFirst, we have to find out the angleθ by using the formula of length of the arc.Then,44 =θ/360°2πrθ = (44*7*360)/(2*28*22)θ = 90°Now, Area of the sector = 90/360*22/7*28*28Area of the sector = 616sq cmArea of the triangle = 1/2*28*28*sin90= 1/2*28*28*1Area of the triangle = 392 sq cmArea of the segment = 616 - 392Area of the sector = 224 sq cm |
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