A circle has a circumference of 12. What is the area of the circle and how do you find it?
1 answer:
Answer:36cm
Step-by-step explanation:The area of a circle is pi times the radius squared (A = π r²
a) Diameter is 12cm
; (b) radius is 6cm
; and (c) area is 36πcm2.
Explanation:If r is the radius of a circle, then its circumference is 2πr
and area is πr2.
As circumference is given to be 12π, we have 2πr=12π
or r=12π2π=6cm.
As such radius is 6cm
and diameter being double of radius, diameter is 2×6=12cm.
and area is π×62=36 cm2
.
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