SOLUTION: The area of a sector of a circle with diameter 12cm is 66cm square.if the sector is folded to form a cone calculate the radius of the base of the cone take pie as 22over 7

Algebra ->  Test -> SOLUTION: The area of a sector of a circle with diameter 12cm is 66cm square.if the sector is folded to form a cone calculate the radius of the base of the cone take pie as 22over 7      Log On


   

Question 1084178: The area of a sector of a circle with diameter 12cm is 66cm square.if the sector is folded to form a cone calculate the radius of the base of the cone take pie as 22over 7
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Radius of the sector is 12%2F2=6.

Whole circle from the given sector would have area %2822%2F7%29%2A6%5E2.

Portion of the circumference which makes the arc on the sector, 66%2F%28%2822%2F7%29%2A6%5E2%29

%286%2A11%2A7%29%2F%282%2A11%2A6%2A6%29

7%2F%282%2A6%29

7%2F12
-

Length of the arc of the sector is %287%2F12%29%2A2%2A%2822%2F7%29%2A6
%287%2A2%2A22%2A6%29%2F%2812%2A7%29
2%2A22%2A2%2A3%2F%282%2A2%2A3%29
22---------This is the circumference of the cone formed from the sector when folded.

Radius of the cone:
2%2A%2822%2F7%29%2Ar=22

2%2Ar%2F7=1

highlight%28r=7%2F2=3%261%2F3%29