Find the exact area of a circle having the given circumference. 3pi

Mathematics

1 answer:

Inessa [10]3 years ago

5 0

Answer:

A = (9/4)*pi units^2

Step-by-step explanation:

The equation for the circumference of a circle is C = 2*pi*r, where r is the radius. Given that the actual value of the circumference is 3 pi, we equate this 3 pi to 2*pi*r: 3 pi = 2*pi*r.

Dividing both sides of this equation by pi, we get 3 = 2r, so that r = 3/2.

The formula for the area of a circle of radius r is A = pi*r^2.

Here r = 3/2, so the area of this circle is

A = pi*(3/2 units)^2 = pi(9/4) units^2, or A = (9/4)*pi units^2.

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Solution given:.

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