Answer:
75.4 yd²
Step-by-step explanation:
Formula for Area of a sector when the central angle is given in degrees is given as :
θ/360 × πr²
Where:
Central angle = θ = 135°
Radius = r = 8yd
π = 3.14
Hence,
135/360 × 3.14 ×(8yd)²
= 75.36 yd²
Approximately the Area of the sector = 75.4 yd²
Starting with ...
![T^2=\dfrac{4\pi^2(M+m)}{ug}](https://tex.z-dn.net/?f=T%5E2%3D%5Cdfrac%7B4%5Cpi%5E2%28M%2Bm%29%7D%7Bug%7D)
1) Multiply by the inverse of the coefficient multiplying the sum with M, then subtract m.
![\dfrac{T^2ug}{4\pi^2}=M+m\\\\M=\dfrac{T^2ug}{4\pi^2}-m](https://tex.z-dn.net/?f=%5Cdfrac%7BT%5E2ug%7D%7B4%5Cpi%5E2%7D%3DM%2Bm%5C%5C%5C%5CM%3D%5Cdfrac%7BT%5E2ug%7D%7B4%5Cpi%5E2%7D-m)
2) Multiply by g/T²
![g=\dfrac{4\pi^2(M+m)}{T^2u}](https://tex.z-dn.net/?f=g%3D%5Cdfrac%7B4%5Cpi%5E2%28M%2Bm%29%7D%7BT%5E2u%7D)
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