*What is the distance between two parallel tangents of a circle having radius 4.5 cm ?*
1️⃣ 18cm
2️⃣ 4.5cm
3️⃣ 2.25cm
4️⃣ 9cm
Answers
Solution :-
from image Let,
→ AB and CD are two parallel tangents .
→ O = Centre of circle having radius as 4.5 cm .
→ EF = Transversal passing through centre .
Since AB || CD ,
→ ∠BEF + ∠EFD = 180° { Angle between parallel lines on same side of transversal are supplementry. }
So,
→ E - O - F is a straight line .
then,
→ EF is the diameter of the circle .
therefore,
→ EO = OF = Radius of the circle = 4.5 cm .
hence,
→ EO + OF = 4.5 + 4.5
→ EF = 9 cm (Ans.)
Hence, the distance between two parallel tangents of a circle having radius 4.5 cm is equal to Option (4) 9 cm .
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Step-by-step explanation:
