Question

which of the following is true for the given figure where O is the centre of the circle
math ​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

which of the following is true for the given figure where o is the centre of the circle ?

• ∠ QPR = ∠QOR

• ∠ QPR = 2 ∠ QOR

• ∠ QPR = 1/2 ∠ QOR

• ∠QPR > ∠QOR

CONCEPT TO BE IMPLEMENTED

THEOREM :

The central angle subtended by two points on a circle is twice the inscribed angle subtended by those points.

EVALUATION

Here in the figure -

Central angle = ∠ QOR

The inscribed angle = ∠ QPR

We know that the central angle subtended by two points on a circle is twice the inscribed angle subtended by those points.

Thus we get

∠ QOR = 2 ∠ QPR

⇒ ∠ QPR = 1/2 ∠ QOR

FINAL ANSWER

Hence the correct option is

∠ QPR = 1/2 ∠ QOR

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Answer 2

Answer:

which of the following is true for the given figure where o is the centre of the circle ?

∠ QPR = ∠QOR

∠ QPR = 2 ∠ QOR

∠ QPR = 1/2 ∠ QOR

∠QPR > ∠QOR

CONCEPT TO BE IMPLEMENTED

THEOREM :

The central angle subtended by two points on a circle is twice the inscribed angle subtended by those points.

EVALUATION

Here in the figure -

Central angle = ∠ QOR

The inscribed angle = ∠ QPR

We know that the central angle subtended by two points on a circle is twice the inscribed angle subtended by those points.

Thus we get

∠ QOR = 2 ∠ QPR

⇒ ∠ QPR = 1/2 ∠ QOR

FINAL ANSWER

Hence the correct option is

∠ QPR = 1/2 ∠ QOR

Step-by-step explanation: