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25 votes
25 votes
Hello help please

Express

(3)/(5)
of a right angle triangle to radian measure and can some anybody help me by looking one old question from my profile help please​

Hello help please Express (3)/(5) of a right angle triangle to radian measure and-example-1
User Neill
by
2.8k points

2 Answers

18 votes
18 votes

Answer:


(3\pi )/(10)

Explanation:

To express degrees in radians

radian measure = degree measure ×
(\pi )/(180)


(3)/(5) of a right angle

=
(3)/(5) × 90° = 54° , then

radian = 54 ×
(\pi )/(180) =
(54)/(180) × π =
(3)/(10) × π =
(3\pi )/(10)

User Peter Dolan
by
2.6k points
15 votes
15 votes

a right angle is 90°, or 1/4 of a circle.

3/5 * 1/4 = 3/20

radian measure is the length of the circumference of this part of the circle.

a full circumference of a circle would be 2*pi*r, also expressed as 2 rad * r

now let's multiply the full thing with the 3/20 from earlier to just get the desired fraction:

6/20 rad * r

= 3/10 rad * r

of course a solution in cm or inch still depends on the radius here, wich could be just plugged in at will

User ThisLanham
by
2.6k points