The measure of central angle XYZ is 1.25 radians. What is the area of the shaded sector?
2 answers:
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>
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Answer:
10.3
Step-by-step explanation:
The triangle can be solved from one side and two angles by using the angle sum theorem to find the third angle, then using the Law of Sines to find the remaining sides.
The angle at T is ...
180° - 119° -36° = 25°
The law of sines tells us side s will be ...
s/sin(S) = t/sin(T)
s = sin(119°)×5/sin(25°) . . . . multiply by sin(S)
s ≈ 10.34763
s ≈ 10.3
__
<em>Additional comment</em>
u/sinU = t/sin(T)
u = sin(36°)×5/sin(25°) ≈ 6.95409
