Question

The archway depicted needs to be painted. What is the area of the archway?

Answer 1

what is the area of the triangle?

Answer 2

@jim_thompson5910 8?

Answer 3

correct

Answer 4

what is the area of the whole circle? Imagine a full circle is swept out by the radius of 4

Answer 5

50.27? @jim_thompson5910

Answer 6

now divide that by 4 since the 90 degree arc measure means we have 90/360 = 1/4 of a circle

Answer 7

so the pie shaped piece is roughly 50.27/4 = 12.5675 in area

the exact area is (16pi)/4 = 4pi