Several different cheeses are for sale. The cheese comes in wedges shaped like sectors of a circle. All of the wedges are the same height.

10a. Mai bought a wedge with a central angle of 45 degrees and radius 10

centimeters. What is the area of the top surface of this wedge? *

area = 39.25  cm²

Step-by-step explanation:

The top and bottom area of a cheese wedge is shaped like a sector of a circle so finding the area of the top surface of this wedge is same as applying the area of a sector.

Top surface area(sector) = ∅/360 × πr²

where

∅ = central angle

r = radius

Top surface area(sector) = ∅/360 × πr²

area = 45/360 × π × 10²

area = 1/8 × 100π

area = 100π/8

area = 100 × 3.14/8

area = 314 /8

area = 39.25  cm²