Arc Length and Sector Area, Can someone please help!

ColbLay

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1605926085192.png
 

tkhunny

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Think "proportional".

What the total distance around the circle?
What the total area inside the circle?
 

ColbLay

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I am just not sure where to start I know I need the length to QR i am just uncertain how to find it
 

ColbLay

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The area inside the whole circle is 25pi
 

tkhunny

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The area inside the whole circle is 25pi
This post makes the previous post false. And the Circumference?

After that, you'll need the proportions.

Okay, you will also know the angle measure of P{Center}Q
 

Jomo

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Yes, the total area is 25pi, good.

If the sector was half of the circle, then you would say its area is (1/2)(25pi). If the sector was (1/4) of the circle then the area of the sector would be (1/4)(25pi). Well what part of the circle is sector PQ?

Find the circumference of the entire circle. What part of the circumference do you want??
 

pka

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What percent of the total circumference is the arc \(\widehat{PQ}~?\)
From that can we get the area of the shaded area?
 
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