SOLUTION: If the number of square units in the area of circle C is twice the number of linear units in the circumference of C, what is the number of square units in the area?
(A) 4
(B) 8
Algebra.Com
Question 3429: If the number of square units in the area of circle C is twice the number of linear units in the circumference of C, what is the number of square units in the area?
(A) 4
(B) 8
(C) 4π
(D) 8π
(E) 16π
Answer by drglass(89) (Show Source): You can put this solution on YOUR website!
The circumfrence of a circle is 2πr and the area is πr2. We are told that the area is twice the circumfrence so
πr2 = 2(2πr)
cancel π from both sides and one r from both sides and you get
r = 4
check the answer by putting r into both equations and you get:
π42 = 16π for the area and
2π4 = 8π for the circumfrence. Clearly, the area is twice the linear measure of the circumfrence.
RELATED QUESTIONS
A circle has a diameter of 6, an area of b square units, and a circumference of c units.... (answered by kingme18)
If the diameter of a circle is 6 units ling, what is the area of the circle, in square... (answered by stanbon)
If the circumference of the circle is 18 units what is the radius and the... (answered by mananth)
What is the number Pi square units in the area of a circle the longest chord of which is... (answered by stanbon)
If the area of circle P is 1,600 units squared, in units what is the... (answered by Alan3354)
The circumference of a circle is 64pie units. What is the area of the... (answered by Alan3354)
Determine the number of square units in the area of the trapezoid whose bases are 5 - x... (answered by checkley77)
if the perimeter of this rectangle is 120 units what is its area in square... (answered by Alan3354)
If a circle has a radius length of 2x units, what is the circle’s... (answered by Alan3354)