Answer:
d. 68.1 in²
Step-by-step explanation:
m∠AHB = 61°
Angle AHB is an inscribed angle, then the next relationship must be satisfied:
m arc AB/2 = m∠AHB
m arc AB = 61°*2 = 122°
GB = 8 in represents the radius of the circle
The sector area is a proportion of the area of the complete circle (360°)
area of the circle = π*radius²
area of the circle = π*8²
area of the circle = 201.06 in²
The following proportion must be satisfied:
360° / 201.06 in² = 122° / x in²
x = 201.06*122/360
x = 68.1 in²
