## anonymous one year ago Find the area of a sector with an arc length of 60in. And a radius of 15in

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1. kawii2004

add 60 and 15 if you dont see the awnser multiply of subtract

2. anonymous

Sorry what do you mean? The answers are: A. 117.75 inches squared B. 282.60 inches squared C. 450 inches squared D. 6,750 inches squared

3. kawii2004

4. triciaal

|dw:1443905817129:dw|

5. triciaal

|dw:1443905951262:dw|

6. triciaal

|dw:1443906055728:dw|

7. anonymous

Lol I'm so confused

8. triciaal

the area of the sector is the same ratio as the length of the arc to the circumference.

9. mathmate

Let's not confuse arc-length with angles. 60" is the arc-length, and 15 is the radius. If you have learned radians, you will find the angle subtended is $$\theta$$ = arc-length / radius = 60/15=4 radians. Area of a sector = $$(1/2)\theta r^2= (1/2)*4~ radians *15^2~ in.^2$$ $$=450~ in.^2$$ If you have not learned radians, use @triciaal 's formula: area of sector / area of circle = arc length of sector / circumference of circle So area of sector = area of circle * arc length of sector / circumference of circle = $$\pi r^2 * (60/(2\pi (r)) in^2$$ = $$2r^2$$ = $$450~in^2$$