Find the area of the shaded sector below. Use your calculator and round your final answer to the nearest hundredth.

Question

anonymous · Answer

@Wendy.Ivette11714

anonymous · Answer

attachment

mathstudent55 · Answer

The central angle of a sector has the same measure as the arc's degree measure.

mathstudent55 · Answer

|dw:1445266330677:dw|

mathstudent55 · Answer

Since the degree measure of the arc is 60 deg, the central angle of that sector is also 60 deg.
Ok so far?

mathstudent55 · Answer

The formula for the area of a sector is:

$\large A_{sector} = \dfrac{n}{360^o}\pi r^2$

jango_in_dtown · Answer

area of the circle = pi 6^2 which is when the angle is 360 degree so the area for 60 degree is pi 6^2 *60/360= 6 pi=18.850

mathstudent55 · Answer

n is the measure in degrees of the central angle of the sector.

anonymous · Answer

so confusing.....

mathstudent55 · Answer

It's not confusing. Just follow the formula.
You are given a central angle of 60 deg. That goes in for n in the formula.
You are given a radius of 6 cm. That goes in for r in the formula.
For pi use 3.14159.

$\large A_{sector} = \dfrac{n}{360^o}\pi r^2$

$\large A_{sector} = \dfrac{60^o}{360^o}(3.14159)(6~cm)^2$

mathstudent55 · Answer

Remember to square the 6 first. Then multiply by 3.14159 (or use the pi key in your calculator if you have one) and multiply by 60. Finally divide by 360.
What do you get?