Geometry CP
11.6 Day 2 WS
Name:____________________________
Find the measure of the central angle of a regular polygon with the given number of sides. Round
your answers to the nearest tenth of a degree, if necessary.
1. 12 sides
2. 16 sides
Find the given angle measure for the regular hexagon shown.
3. m ∠EGD
4. m ∠GHD
5. m ∠EGH
6. m ∠FGD
7. What is the length of the apothem of a regular hexagon with radius 7 inches?
8. Which expression gives the apothem for a regular nonagon with side length 10.5?
A.
a
5.25
tan 40
B.
a
10.5
tan 20
C.
a
5.25
tan 20
In #9 – 14, find the area of the regular polygon.
9. Find the area of a regular 24-gon that has a side length of 10 cm.
10. (Find the exact answer for this one!)
D.
a  5.25  tan 20
11. Find the area of a regular 30-gon with
an apothem of 15 inches.
12. (Find the EXACT answer for this one!)
13.
14. Find the area of a regular pentagon inscribed in a circle whose equation is given by
(x – 4)2 + (y + 3)2 = 16.
REVIEW OF 11.5:
15. What is the exact area of the circle.
16. Find the area of circle H.
17. Find the radius of circle H.
Find the area of the shaded region.
18.
19.