Circle V is shown. Line segment T V is a radius with length 14 feet.
In circle V, r = 14ft.

What is the area of circle V?

a
28π square feet

b
49π square feet

c
196π square feet

d
14π square feet

Circle V is shown Line segment T V is a radius with length 14 feet In circle V r 14ft What is the area of circle V a 28π square feet b 49π square feet c 196π sq class=

Respuesta :

We have been given graph of circle V with radius 14 feet. We are asked to find the area of the circle V.

We will use area of circle formula to solve our given problem.

[tex]A=\pi r^2[/tex], where r represents radius of circle.

Upon substituting [tex]r=\text{14 ft}[/tex] in above formula, we will get:

[tex]A=\pi(14\text{ ft})^2[/tex]

[tex]A=\pi(14)^2\text{ ft}^2[/tex]

[tex]A=\pi\cdot 196\text{ ft}^2[/tex]

[tex]A=196\pi\text{ ft}^2[/tex]

Therefore, the area of the circle V is [tex]196\pi[/tex] square feet and option 'c' is the correct choice.

Answer:

D. 196π ft²

Step-by-step explanation:

From the equation for area of a circle,

A = πr²

Where A is the area of the circle

r is the radius of the circle

In Circle V, the radius, r of the circle is 14 feet

That is,

r = 14ft

Hence, Area is

A = π × (14ft)²

A = π × 14ft × 14ft

A = 196π ft²

Hence, the area of circle V is 196π ft² (196Pi feet squared)