Find the area of the sector

Question

A circle has a radius of 2.5in . A sector of the circle has a central angle of 1.7 radians. Find the area of the sector. Do not round any intermediate computations. Round your answer to the nearest tenth.

Answer 1

Area of Sector Central Angle

------------------- = -------------------

Area of Circle 2 PI radians

Area of Sector 1.7 radians

-------------------- = ----------------

PI * Radius **2 6.28 radians

Area of Sector = PI * 6.25 inches squared * 1.7 radians/ 6.28 radians