Consider a sector of 35 degrees carved out from a circle of

Consider a sector of 35 degrees carved out from a circle of radius 7 in. a. Find the length of the arc of the outer edge. b. Find the area of the sector.

Solution

Given radius r =7

Angle = 35 = 7 /36

a) Length of the arc = r * Angle

= 7 * 7/36

= 49 /36

b). Area of sector = (.r²/360) * Angle

= (.49./360) * 35

= 49. * 7/72

= 343./72