Question

find the area of a circle if the center of the circle is at C(2,5) and point D (4,3) lies on the circle. Round your answer to the nearest tenth of a square unit

Answer 1

To find the area of a circle, we need to know its radius. We can find the radius of the circle by using the distance formula between points C(2,5) and D(4,3), which gives:

r = sqrt((4-2)^2 + (3-5)^2) = sqrt(8) = 2*sqrt(2)

Now that we know the radius, we can use the formula for the area of a circle, which is:

A = pi * r^2

Substituting the value of r in the above formula, we get:

A = pi * (2*sqrt(2))^2 = 8*pi

Rounding to the nearest tenth, the area of the circle is approximately 25.1 square units. Therefore, the answer is A ≈ 25.1.