the given fig has four circles each circle touches rhe two other externally radius of the circle with centre A7cm, witerB14 cm, C 7 cm, D 14, cm abcd represents a circle find ares of shaded region
Attachments:
Answers
Answered by
0
Answer:
Area of shaded region
Given: Side of square ABCD = 14 cm
Radius of circles with centers A, B, C and D = 14/2 = 7 cm
Area of shaded region = Area of square - Area of four sectors subtending right angle
Area of each of the 4 sectors is equal to each other and is a sector of 90° in a circle of 7 cm radius. So, Area of four sectors will be equal to Area of one complete circle So,
Area of 4 sectors = Πr²
Area of square ABCD = (Side)²
Area of square ABCD = (14)²
Area of square ABCD = 196 cm²
Area of shaded portion = Area of square ABCD - 4 × Area of each sector
= 196 – 154
= 42 cm²
Therefore, the area of shaded portion is 42 cm²
Similar questions