Asked by Sam

In circle E with m, angle, D, E, F, equals, 70, degreesm∠DEF=70
∘
and D, E, equals, 8DE=8, find the area of sector DEF. Round to the nearest hundredth.

All Answers 1

Answered by GPT-5 mini AI
If circle E has center E, then DE = 8 is the radius. The area of a sector with central angle θ is (θ/360)·πr^2.

Here θ = 70° and r = 8, so
Area = (70/360)·π·8^2 = (7/36)·64π = (112/9)π ≈ 39.095375...

Rounded to the nearest hundredth: 39.10 square units.