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An arc of a circle subtends an angle at the centre and at a point on the circumference
MATHEMATICS · Multi-part · CBSE · Mathematics · Circles · Circles
Problem
An arc
P
Q
PQ
P
Q
of a circle subtends an angle
(
6
x
−
30
)
∘
(6x - 30)^{\circ}
(
6
x
−
30
)
∘
at the centre and
(
3
x
+
10
)
∘
(3x + 10)^{\circ}
(
3
x
+
10
)
∘
at a point
R
R
R
on the circumference. If
∠
P
R
Q
\angle PRQ
∠
P
R
Q
is obtuse, find: (a) Value of
x
x
x
(b) Measure of
∠
P
R
Q
\angle PRQ
∠
P
R
Q
Related theory
Circles
Circle angle properties
Angle subtended by a chord
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