CBSE Class 10 Maths (Basic) 2023 · Paper 430/5/1 · Question 23

Circles 2 marks Hard

In the given figure, tangents

A B

and

A C

are drawn to a circle centred at

O

. If

∠ O A B = 6 0^{\circ}

and

O B = 5

cm, find lengths

O A

and

A C

Two tangents from external point A to a circle centred at O

Answer

O A = \frac{10 3}{3}

\approx 5.77

cm and

A C = \frac{5 3}{3}

\approx 2.89

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