Question

Area of sector of circle of radius 14cm is 154 cm. Find the length of the arc of sector?

Answer 1

Answer:

22 cm

Step-by-step explanation:

Area of Sector = ( Ф / 360 ) × πr²

⇒ 154 = ( Ф / 360 ) × 22 / 7 × 14²

⇒ 154 = ( Ф / 360 ) × 616

⇒ 154 / 616 = Ф / 360

⇒ 1 / 4 = Ф / 360

⇒ Ф = 360 / 4 = 90°

Hence the angle is 90°.

Arc Length = ( Ф / 360 ) × 2πr

⇒ Arc Length = ( 90 / 360 ) × 2 × 22 / 7 × 14

⇒ Arc Length = ( 1 / 4 ) × 88

⇒ Arc Length = 88 / 4 = 22 cm

Hence the arc length is 22 cm.

Answer 2

Answer:

Step-by-step explanation:

area of sector =angle/360 *pi rsquare

154=angle /360 *22/7 *14*14

154*15/77

=30

LENGTH=30/360*22/7*14*2

7.33