4. Kenneth needs to repaint a wall in his bathroom. The wall is 8 feet high and 14 feet long. Part of
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A sector is the area bounded by two radii and the included arc.
To calculate for the area of the sector, you’ll use the formula A=n/360(pi)(radius)
.
The n in the formula refers to the measure of the central angle in degrees.
The given data in the problem is in radians, convert it by multiplying 1.25 by
.
Now input the converted value to the formula of finding the area of the sector.<span>
</span>
To calculate for the area of the sector, you’ll use the formula A=n/360(pi)(radius)
The n in the formula refers to the measure of the central angle in degrees.
The given data in the problem is in radians, convert it by multiplying 1.25 by
Now input the converted value to the formula of finding the area of the sector.<span>
</span>
A
using the Cosine rule in ΔSTU
let t = SU, s = TU and u = ST, then
t² = u² + s² - (2us cos T )
substitute the appropriate values into the formula
t² = 5² + 9² - (2 × 5 × 9 × cos68° )
= 25 + 81 - 90cos68°
= 106 - 33.71 = 72.29
⇒ t = ≈ 8.5 in → A