codman385 codman385
  • 15-08-2020
  • Mathematics
contestada

Find the area the sector. A. 38π in² B. 1083π4 in² C. 57π4 in² D. 1083π8 in²

Find the area the sector A 38π in B 1083π4 in C 57π4 in D 1083π8 in class=

Respuesta :

Muscardinus Muscardinus
  • 21-08-2020

Answer:

[tex]A=135.37\ \text{inch}^2[/tex]

Step-by-step explanation:

Given that,

Radius of circle, r = 19 inch

Angle with sector, [tex]\theta=135^{\circ}[/tex]

We need to find the area of the sector.

The formula is given by :

[tex]A=\dfrac{\theta}{360}\times \pi r^2\\\\A=\dfrac{135}{360}\times \pi (19)^2\\\\A=135.37\ \text{inch}^2[/tex]

So, the area of the sector is [tex]135.37\ \text{inch}^2[/tex].

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