A 3cm x 10cm rectangle sits inside a circle with a radius of 12cm. What is the area of the shaded region?

Find the area of the rectangle and the area of the circle:

Formula for the area of a rectangle:

A = l x w          [A = area       l = length     w = width]

You know:

l = 10cm

w = 3 cm       Substitute/plug this into the equation

A = l x w

A = 10 x 3

A = 30cm²

Formula for the area of a circle:

A = πr²        [A = area       r = radius]

You know:

r = 12 cm         Substitute/plug this into the equation

A = πr²

A = π(12)²

A = 144π

A = 452.39 cm²  

To find the area of the shaded region, subtract the area of the circle (shaded region) by the area of the rectangle (unshaded region)

452.39cm² - 30cm² = 422.39cm²  

Area of the shaded region=

Step-by-step explanation:

Area of the shaded region is :

Area of the circle - Area of the rectangle inside it

Area of the rectangle=

Area is:

Area of the circle=

As ,

Area of the Circle =  

Area of the shaded region is:

%40

step-by-step explanation: