Test Index

JAMB Mathematics 2023 Paper

© africaexams.com

Question : 77

Total: 80

A circle has a radius of 13 cm with a chord 12 cm away from the centre of the circle. Calculate the length of the chord.

16 cm
8 cm
5 cm
10 cm

Solution:

|AP| = |PB| = $x$ (The perpendicular to a chord bisects the chord if drawn from the center of the circle.)

From ∆OPB

Using Pythagoras theorem

⇒

13^2 = 12^2 + x^2

⇒

169 = 144 + x^2

⇒

169 - 144 = x^2

⇒

x^2 = 25

⇒

x = \sqrt{25} = 5\text{ cm}

∴ Length of the chord |AB| =

x + x = 5 + 5 = 10\text{ cm}

© africaexams.com

Go to Question:

Prev Question

Next Question