Answer:
d. 56 cm²
Explanation:
A = πr²
πr² = 616 in.²
r² = 196.079 in²
r = 14 in.
The sector of the circle has a 90° central angle, so its area is
616 cm² / 4 = 154 cm²
The isosceles triangle shown is a 45-45-90 triangle.
The congruent sides are radii pf the circle.
MN = 2 × 14/√2 in. = 19.799 in.
The height of triangle LMN is 19.799 in. / 2 = 9.899 in.
Area of triangle LMN = bh/2 = 19.799 in. × 9.899 in. / 2 = 97.995 in.²
shaded area = area of sector - area of triangle LMN
shaded area = 154 cm² - 97.995 cm²
shaded area = 56 cm²
Answer: d. 56 cm²