pls.. solve this......
What is the distance between two parallel tangents of a circle having radius
4.5 cm ? Justify your answer.
Answers
Answer:
Step-by-step explanation:
Let BC and DE be the parallel tangents to a circle centered at A with point of contact O and H respectively. On joining OH, we find OH is the diameter of the circle.∠ BOA = 90° = ∠ DHA {Using tangent-radius theorem which states that a tangent at any point of a circle is perpendicular to the radius at the point of contact.}
Distance between BC and DE = OH
∵ OH is perpendicular to BC and DE.
OH = 2 × 4.5 cm = 9 cm
Answer:
9cm
Step-by-step explanation:
Radius of circle=r=4.5cm
Diameter of circle=d=2×r
=2×4.5
=9cm
Tangents are parallel to each other
hence it perpendicular to diameter
distance between two tangents=d
Therefore distance bet tangents =9cm