Question

What is the area of the sector bound by the center of the circle and arc CD in the circle below?

Answer 1

@ganeshie8

Answer 2

whats the area of total circle ?

Answer 3

it has a radius, r = 6
whats the area ?

Answer 4

\[A =\Pi(r)^{2}\]
\[A =\Pi(6)^{2}\]

Answer 5

yes !
but u dont want the entire circle, u only want the area of 60 degree part

Answer 6

Since a circle has 360 degrees,
to get the area of 60 degree part, u can simply multiply it by 60/360

Answer 7

So 113.04 * 60/360?

Answer 8

Oops ! wait, u want only 30 degree part right ?

Answer 9

So scratch the previous stuff.

do below :

Area of 30 degree part = \(\large \pi (6)^2 \times \dfrac{30}{360}\)

Answer 10

simplify

Answer 11

Sorry my computer is slow.....
I got 9.42

Answer 12

thats right !
http://www.wolframalpha.com/input/?i=%5Cpi*%286%29%5E2+++%5Ctimes++%5Cdfrac%7B30%7D%7B360%7D

Answer 13

Thank you!