A circle with a center O has a chord AB that is 20 cm in length. If the radius of the circle is 12 cm, then the area of triangle AOB is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. .
Given that
A circle with a center O has a chord AB that is 20 cm in length
If the radius of the circle (r) =12 cm
According to the question
Semi perimeter (s) = (12 + 12 + 20)/2 = 44/2 = 22 cm
Area of a triangle OAB = √[s × (s – a) × (s – b) × (s – c)]
= √[22 × (22 – 12) × (22 – 12) × (22 – 20)] = √[22 × 10 × 10 × 2]
= √4400
=