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Find the circumference and area of each circle. Round to nearest tenth.

Short Answer

Expert verified

CircumferenceofgivencircleC=50.3cmAreaofgivencircleA=201.1cm2

Step by step solution

01

Step 1. Calculate the radius of the given circle.

In the given circle, observe that the diameter of the circle is 16 cm, so the radius must be half of the diameter, that is,

r=d2r=162r=8cm

02

Step 2. Formula used.

The circumference and area of a circle of radius r are given by.

CircumferenceofacircleC=2πrAreaofacircleA=πr2

03

Step 3. Calculate the circumference of the given circle.

In order to find the circumference of the circle, use the above formula and substitute 8 for r and simplify further as shown below.

CircumferenceofcircleC=2π8C=16πC=50.3cm

04

Step 4. Calculate the area of the given circle.

In order to find the area of the circle, use the above formula and substitute 8 for r and simplify further as shown below:

AreaofcircleA=πr2A=π82A=64πA=201.1cm2

Therefore,

CircumferenceofgivencircleC=50.3cmAreaofgivencircleA=201.1cm2

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