Question

From an external point P, 29cm away from the centre of a circle, the tangent PT of length 21cm is drawn, find the radius of the circle?

Answer 1

Given

• PO = 29cm
• PT = 21cm

To find

• OT (radius)

Solution

• In ΔPOT , ∠PTO = 90°
• OT² = PO² - PT²  (Pythagoras Theorem)
• r² = 29² - 21²
• r² = 841 - 441
• r² = 400
• r = √400
• r = 20

☯ Radius (OT) of the circle = 20cm

Answer 2

Answer:

Step-by-step explanation:

From an external point P, 29cm away from the centre of a circle, the tangent PT of length 21cm is drawn, find the radius of the circle?

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