The diagram shows AHJK. Which term describes point L?

5914 1404 393

  C.  Incenter

Step-by-step explanation:

The point of intersection of angle bisectors is the incenter. It is the center of an inscribed circle.

__

Other centers are ...

  circumcenter - intersection of side perpendicular bisectors. The center of a circumscribed circle.

  centroid - the intersection of medians

  orthocenter - the intersection of altitudes

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm