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The length of a chord AB of a circle is 34 cm and it passes through its centre O and length of another chord AC is 30 cm. Find the area of triangle OPB where P is the midpoint of chord AC and PB = 11 cm.

The length of a chord AB of a circle is 34 cm and it passes through its centre O and length of another chord AC is 30 cm. Find the area of triangle OPB where P is the midpoint of chord AC and PB = 11 cm. Correct Answer 6√35 cm<sup>2</sup>

Given:

The length of a chord AB of a circle = 34 cm 

AC = 30 cm

P is the mid-point of AC

PB = 11 cm

Concept used:

Area of the triangle = √

Where, semi-perimeter, s = (a + b + c)/2

The perpendicular drawn from the center of a circle divides the chord of that circle in two equal parts.

Figure:

⇒ 6√35 cm2

∴ The area of ΔOPB is 6√35 cm2

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