Question

NEED HELP ASAP PLEASE

A 72° sector in a circle has an area of 16.4π yd².

What is the area of the circle?

Use 3.14 for pi.

Enter your answer as a decimal in the box.

Answer 1

Answer:257.48 yd sq

Step-by-step explanation: took de quiz

Answer 2

Give that, a 72° sector in a circle ,

Area of Sector in a circle =

`\pi * r^(2) *( (\theta)/(360) )\\ \:\: where, r = radius\, of\, the\, circle\ \\ \theta = angle \,in \, degrees`

Suppose radius of circle is r .

then Volume of sector of circle

`\pi \imes r^(2) * ((72)/(360) )= 16.4\pi\\\\r^(2) = (16.4 \pi)/(\pi * (72)/(360) ) = (16.4 * 360)/(72)`

Area of a Circle of radius, r,
`A = \pi* r^(2)`

Put
`r^(2) = (16.4 * 360)/(* 72)`

Area of Circle, A =
`\pi * \ (16.4 * 360)/(72) =82 \pi`

given,
`\pi =3.14`

`volume =82 * 3.14 = 257.48`

Hence, Area of circle= 257.48