The radius of a circle is 6.5. What is the diameter, circumference, and area?

Question

Violet Aldrich · Accepted Answer

See solution below

Diameter: The diameter is always double the length of the radius. Assuming d represents diameter: d = 6.5(2) d = 13 The diameter of the circle measures 13. Circumference The formula for circumference of a circle is dπ, where d is diameter and π is pi. Now that we know the length of the diameter, we can find the circumference, or distance around the circle. Assuming that C represents circumference C = dπ C = 13π C = 13π or 40.84 The circumference measures 13π (exact value) or 40.84 (rounded to the nearest hundredth). Area The formula for area is A = #r^2#π. The radius measures 6.5, so we have enough information to solve for A A = #r^2#π A = #6.5^2#π A = 42.25π or 132.73 The area is 42.25π #units^2# or 132.73 #units^2# Hopefully you understand some of the characteristics of circles now!

Mason Adams · Answer

Diameter : #13#
Circumference : #13pi#
Area : #42,25pi# The diameter is 2 times the radius so the diameter of this circle is 13. The circumference of a circle of radius #r# is given by the formula #2pir#. So here, the circumference of this circle is #13pi#. The area of a circle of radius #r# is given by the formula #pir^2#. So here, the area of that circle is #6,5^2pi = 42,25pi#.

Violet Aldrich · Answer

undefined The diameter of the circle is 13 units.
The circumference of the circle is approximately 40.84 units.
The area of the circle is approximately 132.73 square units.