Question

Find the area of the shaded region. Use 3.14 for Round to the tenths place.

21 in
20 in
The area of the shaded region is

Answer 1

• 450.2 in²

Explanation:

The area of the shaded region is:

• The area of circle - area of triangle

Diameter of the circle is the hypotenuse of right triangle. As per Pythagoras:

• d = √20²+21² = √400+441= √841 = 29in
• r = d/2 = 29/2 = 14.5 in

Area of circle:

• A = πr² = 3.14*14.5² = 660.2 in²

Area of triangle:

• A = ah/2 = 20*21/2 = 210 in²

Shaded area:

• 660.2 - 210 = 450.2 in²