SOLUTION: The length of an arc of circle subtending an angle of measure 60* at the centre is 10cm. Find the area and the circumference of the circle.

Question 982055: The length of an arc of circle subtending an angle of measure 60* at the centre is 10cm. Find the area and the circumference of the circle.
Found 2 solutions by macston, josgarithmetic:
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
Is 60*=60 degrees?
If not, disregard and re-post.
Cross multiply

ANSWER 1: Circumference is 60cm
.
Circumference=diameter(pi)
Circumference/pi=diameter
60cm/pi=diameter
19.1cm=diameter
r=radius=19.1cm/2=9.55cm
.
Area=(pi)r^2
Area=(pi)(9.55cm)^2
Area=(91.19)(pi)cm^2
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
, whole circumerence;

The specified fraction of the circumference, .

Solve for r, and you can then compute area of the circle and the circumference.

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