Question

Find the area of the shaded region of the circle. Round to the nearest hundredth.

160.78
615.75
547.62
454.97

Answer 1

454.97 unit^2.

Explanation:

The area of the whole circle = pi r^2

= 14^2 pi.

As there are 360 degrees in a circle the area of the shaded region , by proportion = [ (360 - 94) / 360 ] * 14^2 pi

= 454.972 unit^2.

Answer 2

Answer:Area of shaded region is 454.97

Explanation:

The formula for determining the area of a circle is expressed as

Area of circle = πr^2

Where

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

r = 14

Area of the circle = 3.14 × 14^2 = 615.44

The shaded area is a sector

Area of a sector is expressed as

Area = #/360 × πr^2

Where

# = 94 = central angle

Area of sector = 94/360 × 3.14 × 14

= 160.68

Area of shaded region would be

615.44 - 160.68

= 454.97