+0  
 
0
59
1
avatar

Here's the problem:

 

The area of the sector of a circle is proportional to the central angle. Determine the area of the sector of the circle formed by the arc and the radii that intersect the endpoints of the arc.

 

I don't understand what they mean by this statement. I know that the arc length is 2 cm and that the radius is 3 cm. How would I determine the area of the sector?

 Mar 19, 2020

Best Answer 

 #1
avatar+20802 
+1

Since the radius of the circle is 3 cm, the circumference of the circle is 2·pi·3, which is 6 pi, or about 18.85 cm.

The part of the circle that includes an arc length of 2 cm is:  2 cm / 18.85 cm, or about 0.11 of the circle.

So, if you want to find the area of that sector, find the total area of the circle and multiply that answer by 0.11

 Mar 19, 2020
 #1
avatar+20802 
+1
Best Answer

Since the radius of the circle is 3 cm, the circumference of the circle is 2·pi·3, which is 6 pi, or about 18.85 cm.

The part of the circle that includes an arc length of 2 cm is:  2 cm / 18.85 cm, or about 0.11 of the circle.

So, if you want to find the area of that sector, find the total area of the circle and multiply that answer by 0.11

geno3141 Mar 19, 2020

27 Online Users

avatar
avatar
avatar
avatar
avatar