Question

4. If a decorative sign in the form of a circle has a diameter of 10 feet, what it the area of the sign, to the nearest square foot?

A. 79 ft2
B. 31 ft2
C. 157 ft2
D. 16 ft2

Answer 1

For this case we have that by definition, the area of a circle is given by:

`A = \pi * r ^ 2`

Where:

A: It is the radius of the circle

We have as data that the diameter is 10 feet, then the radius is half, that is, 5 feet.

Substituting:

`A = \pi * (5) ^ 2\\A = 25 \pi\\A = 78.5`

Rounding out we have that the circle area is
`79 \ ft ^ 2`

Answer:

Option A

Answer 2

A. 79 ft²

Explanation:

Area of a circle is given by the formulae

`A=\pi *r^2`

where r is the radius of the circle

Given diameter= 10 ft

Radius of a circle is one half the diameter of a circle.

Radius =
`r=(10)/(2) =5ft`

Area=
`\pi *5^2=3.14*5^2=78.5ft^2\\\\=79ft^2`