Question

The circumference of the circle below is 76 cm. What is the area of the circle? Use 3.14 for pl and round your answer to the nearest square cm.

Area = ?
Anchor Chart
O 38 cm
41 cm?
460 cm?
1839 cm
3.14
C =ποπο
or c = 2 * TT 21
Example
if the radius is
8, then the
diameter is
168x23
C-23148
C-5024
1x 16
Circle
A=xr?
C = 2x
C=

Answer 1

460 cm.

Explanation:

Explanation(s):

According to this word problem, the circumference of the circle is 76 centimeters.

Now, we know that the formulas for finding circumference is:

`c=\pi d(diameter)/2\pi r(radius)`

Solve:

I will use the first formula.

To find the diameter of a circle when given only the circumference, divide the circumference by pi (3.14). The quotient is the diameter of the circle.

`76/3.14=24.2038216561`

24.2038216561 is the diameter.

However, to find the area of the circle, we must have the radius.

The formula for finding the area of a circle is:

`a=\pi r^2`

Remember, to find the radius of a circle, divide the diameter by 2.

`24.2038216561/2=12.1019108281.`

Now, that we have the radius, we can find the area of the circle.

`3.14*12.1019108281*12.1019108281=459.872611471.`

Lastly, round the product, 459.872611471, to the nearest whole number.

`459.872611471` ≈
`460`

Conclude:

I, therefore, believe the area of the circle is 460 cm.