Given circle o with minor arc AB= 60 degrees and OA= 12. What is the area of sector AOB?

1 Answer
Mar 19, 2018

Area =24/5pi color(white)(..) larr" Exact answer"

Area =15.08" units"^2 to 2 decimal placeslarr" Approximation"

Explanation:

Tony BTony B

Let the area of the sector be a

Circumference of a circle is piD hArr 2pir

So the circumference of the whole circle is 2pi12=24pi

But we only have 60^o worth of that circle

So as a fraction of the whole circle it is 60/360-=6/30-=1/5

So the area of the sector is:

a=1/5xx24pi=24/5pi color(white)(..) larr" Exact answer"

a=15.0796447......

a= 15.08" units"^2 to 2 decimal placeslarr" Approximate area"