Answer:
94.18
Step-by-step explanation:
Given in the question a semi circle and a right angle triangle
Step 1
Find the diameter of the semi circle
To find the diameter we will use pythagorus theorem
<h3>hypotenuse² = height² + base²</h3>
here,
hypotenuse will be diameter of semicircle
height = 9
base = 4
Plug values in the formula above
diameter = √(9²+4²)
diameter = √97
Step 2
Find radius
<h3>radius = diameter / 2</h3>
Step 3
Area
<h3>π(r)²</h3>
π(√97/2)²
= 76.18
Step 4
Total surface area = area of circle + area of right angle triangle
= 76.18 + 1/2(9)(4)
= 94.18
