Question

For the concentric circles shown, the radius of the inner circle is 3 centimeters and the distance from the
cdge of the inner circle to the edge of the outer circle is 7 centimeters. What is the exact arca, in squarc
centimeters, of the shaded outer region?

Answer 1

Answer:

d

Step-by-step explanation:

Area of the inner circle = 3^2 π = 9 π

total area = 10^2 π = 100π

area of the shaded region

100π - 9 π = 91 π

Answer 2

The area of the shaded region is 91π square cm if the radius of the inner circle is 3 centimeters and the distance from the edge of the inner circle to the edge of the outer circle is 7 centimeters option (d) is correct.

What is a circle?

It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).

We have:

The radius of the inner circle r = 3cm

The distance from the edge of the inner circle to the edge of the outer circle = 7 cm

So the radius of the outer circle = 7+3 = 10 cm

Area of the inner circle = π(3)²  = 9π square cm

Area of the outer circle = π(10)²  = 100π square cm

Area of the shaded region = 100π -9π = 91π square cm

Thus, the area of the shaded region is 91π square cm if the radius of the inner circle is 3 centimeters and the distance from the edge of the inner circle to the edge of the outer circle is 7 centimeters option (d) is correct.

Learn more about circle here:

brainly.com/question/11833983

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