Question

The area of sector AOB is 182.25PI cm (squared). What is the exact area of the shaded area. Attaching photo.

Answer 1

do you know how to find the area of the right triangle there?

Answer 2

no

Answer 3

hint: use that you are given the radius of the circle is 27cm to your advantage

Answer 4

the base is given as 27cm
what is the height ?

Answer 5

Does not show one.

Answer 6

a line segment drawn from the center to a point on the circle is a radius

Answer 7

this means you also know the height of the triangle since you are given the radius of the circle

Answer 8

27

Answer 9

yes ma'am !

Answer 10

area of triangle=1/2 * base *height

Answer 11

you can find the area of the right triangle and subtract it from the area of the sector to find the area of the shaded part

Answer 12

1/2*729

Answer 13

groovy

Answer 14

that is the area of the triangle

Answer 15

But what is the 1/2? I need to multiply that still.

Answer 16

\[\text{ area of sector } -\text{ area of triangle } =\text{ the area of the shaded part } \\ 182.25 \pi - \frac{1}{2} \cdot 729=\text{ the area of the shaded part }\]

Answer 17

1/2 * 729 is the same as 729/2

Answer 18

you can use your calculator to do 729/2

Answer 19

729 division sign 2

Answer 20

Thank you

Answer 21

np