A circle with a shaded sector is shown.

a. What is the area of the shaded sector?

b. What is the length of the arc that outlines this sector?

 May 22, 2020

50/360 = 5/36.


The shaded is 5/36 of the total circle.


Thus, 2^2 π = 4π, so 20π/36 = 10π/18 = 5π/9


That's the area of the shaded.


As I said, the shaded accounts for 5/36, so the arc counts for 5/36 of the circumference. The way to measure that is 2πr. = 2π*2. I believe you can do this by yourself. It's pretty easy to multiply a number by a fraction:)


If you don't understand anything feel free to ask!!!



 May 22, 2020

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