Question

Find the area of the shaded region when r = 4 feet and the area of the triangle is: 123√ square feet

Use 1.73 for 3√ and 3.14 for π. Round your answer to two decimal places.

Answer 1

Area of the shaded region :
A ( shaded ) = A ( circle ) - A ( triangle ) =
= r² π - 12 √ 3 =
= 4² π - 12 √ 3 =
= 16 π - 12 √ 3 =
= 16 · 3.14 - 12 · 1.73 =
= 50.24 - 20.76 = 29.48
Answer: Area of the shaded region is 29.48 ft².