The distance around a circle is 37.7 meters long. What is the diameter and area of the circle?

Answer 1

The distance around a circle is the Circumference.

Circumference = 37.7

Circumference = 2 π r

37.7 = 2 π r

37.7 / (2 π) = r

37.7 / 6.28 = r

r = 6

Diameter of a circle = 2 * r

Diameter = 2 (6)

Diameter = 12

Area of a circle = π r²

Area = π (6)²

Area = π * 36

Area = 113.1

The Diameter of the circle is 12 meters and the Area is 113.1 m²

Answer 2

The distance around a circle is also know as the circumference.

So Pi * diameter (d) = 37.7 meters

Divide both sides by Pi... and d = 12

Area of the circle is Pi* r²

radius is half the diameter, so r = 6 If we plug this into the area formula =

Pi* 6² = 113.097 = 113.1 square meters