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Consider the statements given below- A: Inradius of circle which is inscribed inside a triangle is obtained when area of triangle is divided by its perimeter. B: Triangle formed in a major arc of a circle is an acute angle triangle. C: Largest possible chord of a circle is always less than its diameter. Which of the above statement(s) is/are TRUE?

Consider the statements given below- A: Inradius of circle which is inscribed inside a triangle is obtained when area of triangle is divided by its perimeter. B: Triangle formed in a major arc of a circle is an acute angle triangle. C: Largest possible chord of a circle is always less than its diameter. Which of the above statement(s) is/are TRUE? Correct Answer Only B

FORMULA USED:

Inradius, r = ∆/s

CALCULATION:

A: Length of inradius of circle = r = ∆/s

Where ‘r’ length of inradius, ‘∆’ is area of triangle and ‘s’ is the semi-perimeter of triangle.

B: Triangle formed in a major arc of a circle is an acute angle triangle.

Triangle formed in a minor arc of a circle is an obtuse angle triangle.

Triangle formed in a semi-circle is a right-angled triangle.

C: Largest possible chord of a circle is always its diameter.

Hence, only statement B is TRUE.

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