Which of the following expressions correctly shows the relationship between the circumference and the area of a circle?(1 point)

Question

Responses

C=2πr
upper C equals 2 pi r

A=πr2
upper A equals pi r squared

Cd=π
Start Fraction upper C over d End Fraction equals pi

C2=4πA

Answer 1

C=2πr

Answer 2

If C=12π , what is the area of the circle? (1 point)
Responses

36π
36 pi

12π
12 pi

24π
24 pi

144π

Answer 3

If C=12π, the correct formula to use is C=2πr, so we can solve for r: 12π = 2πr → r = 6. Then, we can calculate the area using the formula A=πr^2: A = π(6)^2 = 36π.

Therefore, the area of the circle is 36π.

Answer 4

Which chart is correctly developed with the circumference and the area of a circle with a radius of 5 cm?(1 point)
Responses

Radius Circumference Area
5 cm 15.7 cm 19.63 cm2
Radius Circumference Area 5 cm 15.7 cm 19.63 cm squared

Radius Circumference Area
5 cm 62.8 cm 314 cm2
Radius Circumference Area 5 cm 62.8 cm 314 cm squared

Radius Circumference Area
5 cm 78.5 cm 31.4 cm2
Radius Circumference Area 5 cm 78.5 cm 31.4 cm squared

Radius Circumference Area
5 cm 31.4 cm 78.5 cm2

Answer 5

To develop the correct chart, let's use the formulas:

Circumference (C) = 2πr
Area (A) = πr^2

Given the radius (r) is 5 cm:

For Circumference (C):
C = 2π(5) = 10π ≈ 31.4 cm

For Area (A):
A = π(5)^2 = 25π ≈ 78.5 cm^2

So the correct chart is:

Radius Circumference Area
5 cm 31.4 cm 78.5 cm^2

Answer 6

Which formula is used to find the area of a circle when given the radius?(1 point)
Responses

A=r
upper A equals r

A=2r
upper A equals 2 r

A=r2
upper A equals r squared

A=d2

Answer 7

A=πr^2
The correct formula to find the area of a circle when given the radius is A=πr^2.

Answer 8

Which formula is used to find the circumference of a circle when the radius is given?(1 point)
Responses

C=r2
upper C equals r squared

C=r
upper C equals r

C=2d
upper C equals 2 d

C=2r

Answer 9

C=2πr
The correct formula to find the circumference of a circle when the radius is given is C=2πr.