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A regular pentagon has a perimeter of 60 cm. What is the measure of central angle CBD? ____° What is the length of segment CD? ____ cm Which trigonometric ratio can be used to compare BC to CD using angle
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A regular pentagon has a perimeter of 60 cm.

What is the measure of central angle CBD?
____°

What is the length of segment CD?
____ cm

Which trigonometric ratio can be used to compare BC to CD using angle CBD?
________

What is the approximate length of BC?
_____ cm

What is the approximate length of BD?
_____cm

A regular pentagon has a perimeter of 60 cm. What is the measure of central angle-example-1
User Astroboy
by
5.5k points

2 Answers

2 votes

Answer:

A, B, C, C, B

Explanation:

User Smartcaveman
by
5.8k points
3 votes
a) ∠CBD is 1/10 the measure of the circle, 36°.

b) CD is 1/10 the perimeter, 6 cm.

c) CD/BC = tan(∠CBD)

d) BC = CD/tan(∠CBD) = (6 cm)/tan(36°) ≈ 8.258 cm

e) BD = (6 cm)/sin(36°) ≈ 10.208 cm
User Despertaweb
by
6.6k points
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