Which of the following expressions correctly shows the relationship between the circumference and the area of a circle?

Cd=π

A=πr2

C=2πr

C2=4πA

9 answers

C=2πr
If C=12π, what is the area of the circle?

36π

24π

12π

144π
To find the area of a circle, we use the formula A = πr^2. We are not given the value of the radius, but we are given the value of the circumference, which is C = 2πr. We can use this information to solve for the radius, and then use that value to find the area.

C = 2πr
12π = 2πr
r = 6

Now we can find the area:

A = πr^2
A = π(6)^2
A = 36π

Therefore, the area of the circle is 36π. Answer: 36π.
Which chart is correctly developed with the circumference and the area of a circle with a radius of 5 cm?

Radius Circumference Area
5 cm 15.7 cm 19.63 cm2

Radius Circumference Area
5 cm 78.5 cm 31.4 cm2

Radius Circumference Area
5 cm 62.8 cm 314 cm2

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

This chart is correctly developed with the circumference and the area of a circle with a radius of 5 cm.

The formula for the circumference of a circle is C = 2πr, so with a radius of 5 cm, the circumference is:

C = 2π(5) = 31.4 cm

The formula for the area of a circle is A = πr^2, so with a radius of 5 cm, the area is:

A = π(5)^2 = 78.5 cm^2

Therefore, the chart with the correct values for the circumference and area of a circle with a radius of 5 cm is:

Radius Circumference Area
5 cm 31.4 cm 78.5 cm2
Which formula is used to find the area of a circle when given the radius?

A=r2

A=r

A=d2

A=2r
The formula used to find the area of a circle when given the radius is:

A = πr^2

Therefore, the correct formula is A = r^2. Answer: A = r^2.
Which formula is used to find the circumference of a circle when the radius is given?

C=r

C=r2

C=2d

C=2r
The formula used to find the circumference of a circle when the radius is given is:

C = 2πr

Therefore, the correct formula is C = 2r. Answer: C = 2πr.