116. use what you know about the area and circumference of circles to answer the questions below. show all work. leave answers in terms of π. homework ✎ if the radius of a circle is 14 units, what is its circumference? what is its area? if a circle has diameter 10 units, what is its circumference? what is its area? if a circle has circumference 100π units, what is its area? if a circle has circumference c, what is its area in terms of c?

28π and 196π

10π and 25π

2500π

A = C/4π

Step-by-step explanation:

The circumference of a circle is the distance around the edge of the circle. To find the circumference, we use the formula C = 2πr. The area of the circle is the amount inside the circle and is found using A = πr². Substitute the relevant values in each situation into the formulas to find the circumference and area.

if the radius of a circle is 14 units, what is its circumference? what is its area?

Substitute r = 14.

C = 2πr = 2π(14) = 28π

A = πr² = π(14)² = 196π

if a circle has diameter 10 units, what is its circumference? what is its area?

Substitute r = 5.

C = 2πr = 2π(5) = 10π

A = πr² = π(5)² = 25π

if a circle has circumference 100π units, what is its area?

Substitute C = 100π to find the radius. Then substitute the radius into the are formula.

C = 2πr

100π=2πr

100 = 2r

50 = r

A = πr² = π(50)² = 2500π

if a circle has circumference c, what is its area in terms of c?

Cole the circumference formula for r. Then substitute the expression into the area formula.

C = 2πr

r = C / 2π

A = πr² = π(C/2π)² = πC/4π² = C/4π

yes

step-by-step explanation:

yes