Solution: Find the area of the smallest part created by two perpendicular chords

Two perpendicular chords both 5 cm from the center of a circle divide the circle into four parts. If the radius of the circle is 13 cm, find the area of the smallest part.

What is the interior angle opposite the longest side of a triangle?

Problem Statement: EE Board April 1992

Two perpendicular chords both 5 cm from the center of a circle divide the circle into four parts. If the radius of the circle is 13 cm, find the area of the smallest part.

Problem Answer:

The area of the smallest part is 31 sq. cm.

Solution:

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