Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Mathematics

Grade9

Easy

Question

In the figure below, the radius of circle P is 18 units. The arc length of $stack B A with hat on top$ is 14 $pi$ . What is the arc measure of $stack B C with overparenthesis on top$ , in degrees?

60°
46°
68°
64°

hint Hint:

Arc length = $fraction numerator theta over denominator 360 end fraction cross times 2 cross times pi cross times r$
$fraction numerator text arc length end text over denominator text circumference end text end fraction equals fraction numerator text arc measure end text over denominator text degrees in a circle end text end fraction$

The correct answer is: 64°

We know the length of $stack B A with overbrace on top$ , so we can set up a proportion to figure out its arc measure.
$fraction numerator text arc length end text over denominator text circumference end text end fraction equals fraction numerator text arc measure end text over denominator text degrees in a circle end text end fraction$
$fraction numerator 14 pi over denominator 36 pi end fraction equals fraction numerator text arc measure end text over denominator 360 to the power of ring operator end exponent end fraction$
arc measure = $fraction numerator 14 pi over denominator 36 pi end fraction times 360 to the power of ring operator end exponent$
= $140 to the power of ring operator end exponent$
The measures of $stack B C with overbrace on top$ and $stack C A with overbrace on top$ add up to the measure of $stack B A with overparenthesis on top$ .
$m blank stack B C with overbrace on top plus 76 to the power of ring operator end exponent equals 140 to the power of ring operator end exponent$
The arc measure of $stack B C with overbrace on top$ is $64 to the power of ring operator end exponent$ .

Related Questions to study

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.