An arc of length 8 in. is intersected by a central angle in a circle with a radius of 3 in. What is the measure of the angle? Ro
2 answers:
Answer: 2.7 radians.
Step-by-step explanation:
The formula we use to find the length of the arc :-
, where
is the measure of the central angle (in radians )and r is the radius .
Given : An arc of length 8 in. is intersected by a central angle in a circle with a radius of 3 in.
i.e. l= 8 in. and r = 3 in.
From the above formula , we have
[Rounded to the nearest tenth.]
Hence, the measure of the angle = 2.7 radians.
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Step 3 has an error.
Step-by-step explanation:
Similarity-criteria of triangles:
1. All the corresponding angles of two triangles should be equal.
2. The ratio between the corresponding sides of two triangles should be equal.
In and
All the angles of triangle are equal.
∴
Since,
In and
,
All the angles of triangle are equal.
∴
∵
Now, can be simplified as,
Learn more:
1. Find the height of the triangle?
2. Which undefined term is needed to define an angle? brainly.com/question/3717797
3. Look at the figure, which trigonometric ratio should you use to find x? brainly.com/question/9880052
Answer Details
Grade: Junior High School
Subject: Mathematics
Chapter: Triangle
Keywords: triangle, similar, similarity, ratio of sides, right triangle, similar triangle, ratio of sides, equal angles, square of hypotenuse, sum, square of legs, sum of square of legs
