Mathematics: A sector of a circle has an area of 16.75 square inches. The central angle is 120 degrees. Calculate the length of the radius. please help :)

A sector of a circle has an area of 16.75 square

Ответ:

DrDre02

17.03.2022

Mathematics

17.14

Step-by-step explanation:

Area of sector= 120/360(πr^2)

16.75^2 = 120π/360 (r^2)

(π/3)16.75^2 = π/3 r^2(π/3)

293.8 = r^2

r= √293.8

r= 17.14

I just did it like that. Just want to help u.

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Ответ:

esmelopez1015

05.07.2021

Mathematics

$m^2+2m-48=-6 \\ \\ m^2+2m-48+6=0\\ \\m^2+2m-42=0\\ \\a=1, \ b= 2, \ c= -42 \\ \\\Delta = b^{2}-4ac = 2^{2}-4*1*(-42)= 4+168 =172 \\\\\sqrt{\Delta }=\sqrt{172} =\sqrt{4*43}=2\sqrt{43}\\ \\x_{1}=\frac{-b-\sqrt{\Delta }}{2a} =\frac{-2-2\sqrt{43}}{2}=\frac{2(-1-\sqrt{43})}{2}= -1-\sqrt{43} \\ \\x_{2}=\frac{-b+\sqrt{\Delta }}{2a} = \frac{-2+2\sqrt{43}}{2}=\frac{ 2(-1+\sqrt{43})}{2}= -1+\sqrt{43}$

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A sector of a circle has an area of 16.75 square inches. The central angle is 120 degrees. Calculate the length of the radius. please help :)

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