Question

Both circles have the same center. What is the area of the shaded region?10.7 md=26.2 mUse 3.14 for a. Write your answer as a whole number or a decimal rounded to the nearesbundredth

Answer 1

To determine the area of the shaded region, we would subtract the area of the smaller or inner circle from the area of the bigger or outer circle.

From the information given,

diameter of inner circle = 26.2m

radius of inner circle = diameter/2 = 26.2/2 = 13.1m

B applying the formula for determining the area of a circle which is expressed as

Area = pie * r^2,

pie = 3.14

Area of inner circle = 3.14 * 13.1^2 = 538.86 m^2

Radius of outer circle = 10.7 + 13.1 = 23.8m

Area of outer circle = 3.14 * 23.8^2 = 1778.62m^2

Therefore,

Area of shaded region = 1778.62 - 538.86 = 1239.76m^2