If the radius of a circle is 10 feet, how long is the arc subtended by an angle measuring 81°? a) 9π feet b) 2 9 π feet c) 9 5 π feet d) 9 2 π feet

Option D.

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference of a circle is equal to

we have

substitute

step 2

we know that

360° subtends the complete circle of length 2πr.

so

By proportion

Find the length of the arc subtended by an angle measuring 81°

step-by-step explanation:

goog be able to you with that maybe

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.