A chord of 48 cm is 7 cm the center of a circle. Calculate the area of the circle.

Answer 1

Draw a radius that is perpendicular to the chord. The radius bisects the chord and the segment of the radius from the center of the circle to the chord has length 7. Draw a right triangle with one leg as half of the chord and the other leg as the segment defined previously. Using the Pythagorean Theorem, the hypotenuse is a radius with length √[24²+7²] = 25.

So, the area of the circle is π(25)² = 625π.