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?
+23245 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
+23245 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
