Answer:
b
Step-by-step explanation:
Area of the sector is 10 in²
Step-by-step explanation:
- Step 1: Find the area of the sector where radius = 5 in and central angle = 60°
Area of the sector = πr² (C/360), where r is radius and C is the central angle
⇒ Area = 3.14 × 5² × (60/360)
= 3.14 × 25 × 1/6
= 78.5/6 = 13.08 in² ≈ 10 in²
A) Angles ABD and CBD are supplementary, so you have ...
∠ABD + ∠CBD = 180°
6.2(∠CBD) + ∠CBD = 180°
7.2(∠CBD) = 180°
∠CBD = 180°/7.2
∠CBD = 25°
B) Angles EBD and CBD are complementary, so you have ...
∠FBE = ∠EBD = 90° - ∠CBD
∠FBE = 90° - 25°
∠FBE = 65°