Question

Find the area of the figure. Round to the nearest tenth.

6.5
3
O 14.6 units2
O 22.4 units2
15.0 units2
O 18.2 units2

Answer 1

Area total = 14.6

Explanation:

The composite area from left to right is

a half circle plus a rectangle minus a triangle

Area total = π r²/2 + bh - 1/2(bh)

= π (d/2)²/2 + bh - 1/2(b)(h triangle use Pythagorean theorem

= π (3/2)²/2 + 5(3) - 1/2(3)(√(3² - 1.5²) h triangle = c² - (b/2)²

= π 1.5²/2 + 15 - 1/2(3)(2.598)

Area total = 14.637 units²