Question

In the adjoining figure, the measure of PR is *

Answer 1

Step-by-step explanation:

ans is 16 cm

radius + op.....op is ten by Pythagoras theorem

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Answer 2

Given:

1. PQ = 8 cm
2. OQ = 6 cm

To find:

⟶ PR = ?

Method:

In ΔPOQ,

By Pythagoras Theorem,

PO² = PQ² + OQ²

⇒ PO² = 8² + 6²

⇒ PO² = 64 + 36

⇒ PO² = 100

⇒ PO = √100

⇒ PO = ±10

Length cannot be negative

∴ PO = 10 cm

PR = PO + OR

⇒ PR = 10 + OQ      [∵ OR = OQ = Radius]

⇒ PR = 10 + 6

∴ PR = 16 cm

Additional Information:

• Tangent to the radius of the circle is always 90°. This is known as 'Tangent Perpendicularity Theorem'.