Answer:
Area of composite figure = 623.25 cm²
Step-by-step explanation:
Given:
Equal side of triangle = 39 cm
Diameter of semi-circle = 30 cm
Base of triangle = 30 cm
Find;
Area of composite figure
Computation:
Radius of triangle = 30 / 2
Radius of triangle = 15 cm
Height of triangle = √39² - 15²
Height of triangle = √1,521 - 225
Height of triangle = 36 cm
Area of composite figure = Area of semi-circle + Area of triangle
Area of composite figure = [πr² / 2] + [(1/2)(b)(h)]
Area of composite figure = [(3.14)(15)² / 2] + [(1/2)(15)(36)]
Area of composite figure = [(3.14)(225) / 2] + [(15)(18)]
Area of composite figure = [706.5 / 2] + [270]
Area of composite figure = 353.25 + 270
Area of composite figure = 623.25 cm²
