Question

In the given figure, O is the centre of the circle and PRIS
a diameter. If ZQSR = 120° and diameter of the circle is
24 cm, then area of traingle PQR is..what
​

Answer 1

Given that in the figure shown, O is the center of the circle and m∠POR=120°.

We are to find the measures of ∠PQR and ∠PSR.

From the figure, we note that

PQRS is a cyclic quadrilateral.

We know that

the measure of the angle subtended by an arc at the center of the circle is double of the measure of angle subtended by the same arc on the circumference.

So, in the given circle, on arc PR, we must have

Also, the sum of the opposite angles of a cyclic quadrilateral is 180° .

Therefore, we get

Thus, the required measure are m∠PQR = 60° and m∠PSR = 120°.

Answer 2

can you just tell me where is I and z in the given figure?