Question

B
4. Draw a line segment AB = 6 cm. Take a point C on AB such that AC = 4 cm. From C, draw
CD I AB​

Answer 1

Step-by-step explanation:

Since tangents to a circle is perpendicular to the radius through the point.

∴∠ORD=∠OSD=90

o

It is given that ∠D=90

o

. Also, OR=OS. Therefore, ORDS is a square.

Since tangents from an exterior point to a circle are equal in length.

∴BP=BQ CQ=CR and, DR=DS.

Now,

BP=BQ

⇒ BQ=27 [∵BP=27 cm (Given)]

⇒BC−CQ=27

⇒38−CQ=27

∵ BC=38cm ⇒CQ=11 cm

⇒CR=11 [∵CR=CQ]

⇒CD−DR=11

⇒25−DR=11 [∵CD=25cm]

⇒DR=14 cm

But, ORDS is a square. ⇒ OR=DR=14 cm.

⇒ r=14 cm.

solution

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