Find the area of the shaded region.

approximately 33.59 square cm

Work Shown:

P = area of equilateral triangle with side length 's'

P = (sqrt(3)/4)*s^2

P = (sqrt(3)/4)*14^2

P = 49*sqrt(3)

Q = area of circle with radius r

Q = pi*r^2

Q = pi*4.04^2

Q = 16.3216pi

S = area of shaded region

S = P - Q

S = 49*sqrt(3) - 16.3216pi

S = 33.5946709160439

S = 33.59

33.6 cm² (3 sf)

Step-by-step explanation:

Area of triangle - Area of circle

Area of triangle = ½×14×14×sin(60)

= 84.87 cm²

Area of circle = pi × 4.04²

= 51.28 cm²

Shaded area = 84.87 - 51.28

= 33.6 cm²

-232

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