9514 1404 393
Answer:
30.5 square meters
Step-by-step explanation:
The diagonal of the rectangle is the diameter of the circle. The Pythagorean theorem tells you ...
d² = 8² + 6² = 64 +36 = 100
The area of the circle is ...
A = πr² = π(d/2)² = π·d²/4 = 3.14×100/4 = 78.5 . . . square meters
The area of the rectangle is ...
A = LW = (8 m)(6 m) = 48 square meters
Then the area that is shaded is ...
shaded area = circle area - rectangle area = 78.5 m² -48 m² = 30.5 m²
The area of the shaded region is 30.5 m².
