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If a circle has a circumference of 28π centimeters (cm) then what is it's area in centimeters squared?

a. 784π



b. 196π



c. 14π



d. 28π

User Gambit
by
4.7k points

1 Answer

3 votes

Answer:

The correct answer is B. 196π

Explanation:

Let's recall the formulas related to the circle:

Circumference = 2π * r

Replacing with the real value we have and solving for r:

28π = 2πr

r = 28π/2π

r = 14 cm

Now, let's find the area of the circle:

A = π * r²

A = π * 14²

A = 196π cm²

The correct answer is B. 196π

User Monte Jones
by
5.2k points