What is the area of a circle with a diameter of 15.8 cm? Use 3.14 for pi and round your final answer to the nearest hundredth. Enter your answer in the box.

cm2

195.97 cm²

Step-by-step explanation:

From question statement, we observe that

We have given the diameter of circle and we have to have to find area of circle.

diameter = d = 15.8 cm and area = A = ?

The formula to find area of circle is

Area = πr² where r is radius of circle.

Firstly, we have to find the radius of circle.

Diameter = 2 (radius)

d = 2r

r = d / 2

Putting the given value of diameter, we have

r = 15.8 / 2

r = 7.9 cm

Now putting the value of radius and pi in formula, we get

A = (3.14) (7.9) ²

A = (3.14) (62.41

A = 195.9674 cm²

We have to round off it to the nearest hundreth.

Area = A = 195.97 cm² which is the answer.

A=195.97 cm^2

Step-by-step explanation:

Area of a circle is given by

A = pi r^2

We are given the diameter. We need to find the radius

d = 2r

15.8 = 2r

Divide by 2

7.9 = r

Now we can find the area

A = pi * (7.9) ^2

A = pi * 62.41

Let pi = 3.14

A = (3.14) * 62.41

= 195.9674 cm^2

We round to the nearest hundredths

A=195.97 cm^2