Calculate the area of a circle with a radius of 2 cm and a circle with a radius of 4 cm. leave your answers in terms of pi. when the radius doubles, does the area of the circle double?

a. 4π cm2; 8π cm2; no

b. 4π cm2; 16π cm2; no

c. 4π cm2; 16π cm2; yes

d. 4π cm2; 8π cm2; yes

Question

Mathematics

Cailyn Munoz

7 May, 02:20

Calculate the area of a circle with a radius of 2 cm and a circle with a radius of 4 cm. leave your answers in terms of pi. when the radius doubles, does the area of the circle double?

a. 4π cm2; 8π cm2; no

b. 4π cm2; 16π cm2; no

c. 4π cm2; 16π cm2; yes

d. 4π cm2; 8π cm2; yes

+4

Answers (1)

Know the Answer?

Moises Underwood · Answer 1

Area of the circle with radius 2:

A = pi * radius^2

= pi * 2^2

= pi * 4

= 4pi cm^2

Area of the circle with radius 4:

A = pi * 4^2

= pi * 16

= 16pi cm^2

16 is not 4*2 so no the statement is incorrect

B is the correct option

Calculate the area of a circle with a radius of 2 cm and a circle with a radius of 4 cm. leave your answers in terms of pi. when the radius doubles, does the area of the circle double?a. 4π cm2; 8π cm2; nob. 4π cm2; 16π cm2; noc. 4π cm2; 16π cm2; yesd. 4π cm2; 8π cm2; yes

Calculate the area of a circle with a radius of 2 cm and a circle with a radius of 4 cm. leave your answers in terms of pi. when the radius doubles, does the area of the circle double?

a. 4π cm2; 8π cm2; no

b. 4π cm2; 16π cm2; no

c. 4π cm2; 16π cm2; yes

d. 4π cm2; 8π cm2; yes