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