A rectangular piece is cut from a circular sheet as shown on the diagram below. The length and width of the rectangle is 12 cm by 15 cm respectively. The circular part has a 20 cm radius. Find the remaining area of the sheet in cm2 cm 2 after the rectangle has been removed. Note : The figures are not drawn to scale

The area of remaining sheet is 1077cm²

Step-by-step explanation:

First, you have to find the area of circle using the formula, A = πr², where r is the radius of circle:

r = 20cm

A = π × 20²

= 400π cm²

Second, you have to find the area of rectangle:

A = 12 × 15

= 180 cm²

Lastly, you need to substact the area of rectangle feom the area of circle to find the remaining sheet that has not being cut:

A = 400π - 180

= 1077 cm² (3s.f)