Finding the Circumference from a Secant

Answer: If the 88 m secant passes through the centre of the circle (i.e., it is a diameter), the circumference is π × 88 ≈ 276.5 m.

A secant that goes through the centre is exactly the same as the diameter of the circle. The circumference (C) of a circle is given by C = π × d, where d is the diameter.

Example: Imagine a round garden where a straight path cuts straight across the middle and measures 88 m. That path is the garden’s diameter, so walking once around the garden would be about 276.5 m.

Key Points:

• If the secant is a diameter, use C = π × d.
• For any other secant (not passing through the centre), the radius or central angle is needed to find the circumference.
• π ≈ 3.1416; multiply by the diameter to get the total distance around the circle.

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Keywords: secant, diameter, circumference, circle, π, CBSE, Class X, geometry