A trampoline has an area of #49pi# square feet. What is the diameter of the trampoline?
2 Answers
Explanation:
#"the area of a circle "=pir^2larrcolor(blue)"r is the radius"#
#rArrpir^2=49pi#
#rArrr^2=(49 cancel(pi))/cancel(pi)=49rArrr=sqrt49=7#
#rArr"diameter "=2xx"radius "=2xx7=14" feet"#
Diameter of the trampoline =
Explanation:
For this problem we can assume that a trampoline is a circle, so we can hence use the area of a circle formula:
The area of circle is
Now we find the radius....
Divide by pi:
Taking the square root of each side:
We know the diameter is twice the radius...
As we are dealing in feet