Multiple choice

In a circle with centre O, ΔPOQ is inscribed where PO is perpendicular to OQ. If the area of the triangle POQ is 72 units, then the area of the circle is - O केन्द्र वाले वृत्त में, ΔPOQ अन्तर्निहित है जिसमें PO, OQ के लम्बवत् है। यदि POQ का क्षेत्रफल 72 मात्रक है, तो वृत्त का क्षेत्रफल है-

  1. 36π

  2. 72π

  3. 144π

  4. 57π
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

POQ is right-angled at O, with PO and OQ as radii (both equal to r). Area of ΔPOQ = (1/2) × PO × OQ = (1/2)r² = 72. Therefore r² = 144. Area of circle = πr² = 144π. Option C is correct.

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