Question

find the area of shaded region where a circle and of radius 6cm has been drawn with vertex o of an equilateral triangle OAB of side 12cm and should in point

Answer 1

Area of circle =πr²=3.14*6*6=

113.04cm²

Area of equilateral triangle =

A=√3/4a²=√3/4*12*12

1.73*36=62.28cm²

In an equilateral triangle each vertex angle is 60°

Area of sector OLP=θ/360*πr²

60/360*3.14*6*6

1/6*113.04=18.84cm²

Now,

Area of shaded portion=Area of circle + Area of equilateral triangle - Area of sector

113.04+62.28-18.84

175.32-18.84=156.48cm²

Answer 2

hope it helps you ok