Identify the correct phrase to complete the statement.
If the length of the intercepted arc is the same as the length of the radius, the central angle has a measure of_____ ?
A. 90 degrees
b. 1 radian
c. 30 degrees
d. pi/4 radians
Answers
Given :- If the length of the intercepted arc is the same as the length of the radius, the central angle has a measure of_____ ?
A. 90 degrees
b. 1 radian
c. 30 degrees
d. pi/4 radians
Solution :-
we know that,
- Length of arc = (Angle at centre/360°) * 2 * π * radius .
- 360° = 2π radian
given that,
- Length of arc = radius = Let r
A/q,
→ (Angle at centre/360°) * 2 * π * r = r
→ (Angle at centre/360°) * 2π = 1
→ (Angle at centre/2π) * 2π = 1
→ Angle at centre = 1 radian (B) (Ans.)
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Answer:
B. 1 radian
Step-by-step explanation:
A P E X