Question

the area of a sector half circle of 6cm radius is 15π squad. cmfind the measure of Arc​

Answer 1

Answer:

5π

Step-by-step explanation:

Area of Sector = πr²Ф/360

=>  15π = π × 6² × Ф/360

=>  15 = 36Ф/360         (π on both sides gets cancelled)

=>  15 = Ф/10                (as 36 × 10 = 360)

=>  150 = Ф      -----------------------(1)

Measure(length) of arc = 2πrФ/360

=>  2× π × 6 × 150/360

=>  π × 6 × 300/360

=>  π × 6 × 5/6                         (300/360 gets simplified into 5/6)

=>  5π                                     ( 6 cancels 1/6)