a circle has a center (8,2). the point (3,7) is on the circle. What is the area of the circle to the nearest square unit?

Not trying to find the radius were trying to find the circumference

To find the area of a circle, you need to know its radius. The radius of a circle is the distance from its center to any point on the circle's circumference. In this case, the distance between the center of the circle (8,2) and the point on the circle's circumference (3,7) will give us the radius.

To find the distance between two points, you can use the distance formula, which is:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Using this formula, we can calculate the radius:

r = √((3 - 8)^2 + (7 - 2)^2)
= √((-5)^2 + (5)^2)
= √(25 + 25)
= √50
≈ 7.07

Now that we have the radius (approximately 7.07 units), we can use the formula for the area of a circle:

A = πr^2

Plugging in the radius, we get:

A = π(7.07)^2
≈ π(49.99)
≈ 157 square units (rounded to the nearest square unit)

Therefore, the area of the circle to the nearest square unit is approximately 157 square units.

you can find the radius: it's the distance between the points.