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The circumference of a circle is 15(pie) centimeters. what is the area Of the circle in terms of (pie)

2 Answers

11 votes

Answer:

A = 56.25π cm²

Explanation:

the area (A) of a circle is calculated as

A = πr² ( r is the radius )

to find r use the circumference formula

C = 2πr

given C = 15π , then

2πr = 15π ( divide both sides by 2π )

r = 7.5 cm

then

A = π × 7.5² = 56.25π cm²

User Burke
by
8.3k points
5 votes

Answer:

56.25π cm^2

Explanation:

circumference = 15π

diameter*π = circumference

diameter = 15π/π

radius*2 = diameter

radius*2 = 15

radius = 7.5

area = π*radius^2

area = π*7.5^2

area = 56.25π

User Dmitrydwhite
by
8.0k points

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