Question

A circle with a radius of 1 cm sits inside a 11cm x 12cm rectangle. What is the area of the shaded region?

Answer 1

Given :

Rectangle of dimensions 11cm x 12cm

Circle of radius 1 cm

To Find :

Area of shaded region i.e. area of remaining part of rectangle i.e. other than circle.

Solution :

•Area of Circle with radius 1 cm is given by πR²

Area of circle = π(1)²

Area of circle = π cm²

Area of circle = 3.14 cm²

•Dimensions of Rectangle are 11cm×12cm i.e. Length = 11 cm

& Breadth = 12cm

•Area of Rectangle with Length = 11 cm & Breadth = 12cm is given by

length × breadth

•Area of Rectangle = L×B

Area of Rectangle = 11×12

Area of Rectangle = 132 cm²

•Area of shaded region = Area of Rectangle - Area of circle

•Area of shaded region = 132-3.14

Area of shaded region = 128.86 cm²

•Area of shaded region marked by circle of radius 1 cm in Rectangle of dimensions 11 cm x 12 cm is 128.86 cm²