Answer: about 263.08 sq meters (choice C)
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Step-by-step explanation:
We'll use this formula
S = (x/360)*A
where,
- S = area of pie slice, aka sector
- x = central angle in degrees
- A = area of full circle
We'll plug in S = 85.5 and x = 117 to find solve for A.
S = (x/360)*A
85.5 = (117/360)*A
85.5*(360/117) = A
A = 85.5*(360/117)
A = 263.076923076923 which is approximate
A = 263.08 square meters (choice C)
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Side note: As the formula suggests, the x/360 portion is the fractional portion of the full area A. For example, if x = 180 degrees, then x/360 = 180/360 = 1/2, meaning we'll take half of the full circle area to get S.