Question

From a parllellogram having 14cm base and 15cm height a circle of radius 7cm out what is the area of the remaining portion

Answer 1

The area of the remaining portion is 56 sq cm.

Explanation:

The base of the parallelogram is 14 cm.

The height of the parallelogram is 15 cm

Now, the Area of the parallelogram = Base x Height

Area of the parallelogram = 14 cm x 15 cm = 210 sq cm

Now, radius of the cut out circle= 7 cm

So, Area of the circle =
`\pi r^(2)  = \pi (7)^(2)  = (22)/(7)  * 7 * 7  = 154 sq cm`

So, the area of the cut out circle = 154 sq cm

Now, the left out area = Area of the parallelogram - Area of the circle

= 210 sq cm - 154 sq cm = 56 sq cm

Hence, the area of the remaining portion is 56 sq cm.