Question

A circle has a circumference of 15 pi. what is the area of pi

Answer 1

= 112.5π sq. units is the area of pi

Explanation:

In your case it's 15π

So that becomes:

2πr=15π

Now dividing the equation on both sides by π,the result is:

2r=15

That means 2 times radius(r) is 15

r=15/2

r computes out to be 7.5

Now r=7.5

So the area of circle(AoC) i.e. πr^2

AoC=3.14*(7.5)^2

AoC=3.14*(7.5)*(7.5)

AoC=176.625

Note: Don't forget to multiply the result to respective unit square for e.g. if the circumference was 15π in cm then the Area would compute out as 176.625 cm^2

Answer 2

The area of a circle with a circumference of 15π is 56π, which is approximately 176 square units, based on the calculated radius of 7.5 and the area formula A = πr².

To determine the area of a circle with a given circumference, we first need to find the radius using the circumference formula C = 2πr.

Given that the circumference is 15π, we divide 15π by 2π to obtain the radius, r.

This gives us a radius of 7.5.

Now, we can calculate the area using the area formula A = πr².

Substitute the radius into the formula: A = π(7.5)² = 56.25π.

If we use pi as 3.1415927..., the area in decimal form would be approximately A = 3.1415927... × 7.5², but precision is limited by the significant figures of the radius, which has only two significant figures (7.5).

Therefore, the area calculated to two significant figures is A = 56π or approximately A= 176 square units, since π is approximately 3.14.