Question

20 points PLEASE HELP IT'S DUE TODAY

Answer 1

Explanation:

Arc length of the circle is given by,

Arc length =
`(\theta)/(360^(\circ))(2\pi r)`

Area of the sector of a circle =
`(\theta)/(360^(\circ))(2\pi r)`

22). Arc length of the circle having central angle =
`(\pi)/(3)`

= 60°

Arc length =
`(60^(\circ))/(360^(\circ))(2\pi )(7)`

=
`(14\pi )/(6)`

= 7.33 cm

23). Arc length of the circle having central angle = 225°

Arc length =
`(225^(\circ))/(360^(\circ))(2\pi )(10)`

= 12.5π

= 39.27 km

24). Central angle =
`(5\pi )/(4)`

=
`(5* 180^(\circ))/(4)`

= 225°

Area of the sector =
`(225^(\circ))/(360^(\circ))(2\pi )(11)`

= 43.20 yd²

25). Area of the sector =
`(270^(\circ))/(360^(\circ))(2\pi )(14)`

= 65.97 yd²