Answer:
The radius of the circle is 24 inches.
Step-by-step explanation:
Central angle in a sector is 90 degrees
Area of a sector is ![144\pi\ \text{inch}^2](https://tex.z-dn.net/?f=144%5Cpi%5C%20%5Ctext%7Binch%7D%5E2)
The area of sector is given by the formula as follows :
![A=\dfrac{\theta}{360}\pi r^2](https://tex.z-dn.net/?f=A%3D%5Cdfrac%7B%5Ctheta%7D%7B360%7D%5Cpi%20r%5E2)
r is the radius of circle
![r=\sqrt{\dfrac{360 A}{\theta \pi}} \\\\r=\sqrt{\dfrac{360 \times 144\pi }{90\times \pi}} \\\\r=24\ \text{inch}](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B%5Cdfrac%7B360%20A%7D%7B%5Ctheta%20%5Cpi%7D%7D%20%5C%5C%5C%5Cr%3D%5Csqrt%7B%5Cdfrac%7B360%20%5Ctimes%20144%5Cpi%20%7D%7B90%5Ctimes%20%5Cpi%7D%7D%20%5C%5C%5C%5Cr%3D24%5C%20%5Ctext%7Binch%7D)
So, the radius of the circle is 24 inches.
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Obtuse
Answer:
Step-by-step explanation:
Side₁ = 1.8 +3.2 = 5 cm
Side₂ = 3 cm
Side₃ = 4 cm
Perimeter of triangle = sum of all the three sides
= 5 + 3 + 4
= 12 cm
![\boxed{\text{Area of triangle =$\dfrac{1}{2}*base * height$}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Ctext%7BArea%20of%20triangle%20%3D%24%5Cdfrac%7B1%7D%7B2%7D%2Abase%20%2A%20height%24%7D%7D)
![=\dfrac{1}{2}*5*2.4\\\\\\= 5*1.2\\\\= 6 \ cm^{2}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B1%7D%7B2%7D%2A5%2A2.4%5C%5C%5C%5C%5C%5C%3D%205%2A1.2%5C%5C%5C%5C%3D%206%20%5C%20cm%5E%7B2%7D)