A chord of a cirde subtends a right angle at its centre, find the length of
the chord
Answers
Answered by
0
Answer:
The length would be 2*r*r
Since the chord would be the Hypotenuse of a right angled triangle formed by two radii and the chord itself, the right angle being at the centre
Answered by
2
Let r be the radius of the circle and θ be the angle subtended by the chord at the center.
Given:
r=
10
cm,
θ=
90
o
Length of the chord =
2rsin
2
θ
= 2×
10sin
2
90
0
= 20× sin45
o
= 20×
2
1
=
10
2
≈
14.14
Step-by-step explanation:
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