Question

The circumference of a circle is
16pi centimeters.
(a) Find the diameter of the circle.
(b) Find the area of the circle.

Answer 1

Answer:

Given, Circumference =16π

The circumference of a circle is given by 2πr.

Hence, 2πr=16πft

∴πr=8πft

∴r=8ft

Step-by-step explanation:

1. The circumference of a circle is equal to π , which is a number ≈3.14 , multiplied by the diameter of the circle. Therefore, C=πd . We can divide both sides by π to see that 16=d . We now know that the diameter of the circle is 16 .
2. The area of a circle is πr2 where r is the radius. Dividing both sides by π we find r2=16=42 and hence r=4 .

Answer 2

a) The circumference of a circle is equal to π , which is a number ≈3.14 , multiplied by the diameter of the circle. Therefore, C=πd . We can divide both sides by π to see that 16=d . We now know that the diameter of the circle is 16 .

b) Given:

The circumference of a circle is 16π cm.

To find:

The area.

Explanation:

We know that, formula of circumference;

=) πd

So,

=) πd= 16π

=) d= 16cm

Radius:

=) d/2

=) 16/2

=) 8cm

Now,

Area of the circle:

πr²

=) 22/7 × 8×8

=) 1408/7

=) 201.14cm²

Thank you.