Question

Find the area of each shaded sector. Round to the nearest hundredths place. Use 3.14 for pi​

Answer 1

8.48cm²

Explanation:

area of a sector =
`(0\pi r^2\\\\)/(360)`

where 0 = angle measure of sector

and r = radius

we are given the angle measure ( 23° ) and the radius ( 6.5 cm )

so all we have to do is plug in the values into the formula

(Note that the question asks us to use 3.14 for pi)

`A=(23*3.14* 6.5^2\\\\)/(360)\\6.5^2 = 45.25\\23*3.14 =72.22\\72.22*45.25 = 3051.295\\(3051.295)/(360) =8.47581944`

so the area of the sector = 8.47581944 cm^2

finally we want to round to the nearest hundredth and we get that the answer is 8.48cm²