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

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Answer 1 · 2018-03-19T15:30:56

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

Area #=15.08" units"^2 # to 2 decimal places#larr" Approximation"#

Tony 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 places#larr" Approximate area"#