Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
+1 vote
6.6k views
in Circles by (44.5k points)
closed by

If the distance between two parallel tangents of a circle is 10cm, what is the radius of the circle?

1 Answer

+2 votes
by (55.5k points)
selected by
 
Best answer

O is the centre of circle and tangents from point A and B are parallel

We know that the line joining point of contacts of two parallel tangents (here AB) passes through the centre

And as a line from the centre is perpendicular to tangent, hence that line(AB) will be the distance between parallel tangents

AB passes through centre O hence AB is also the diameter of the circle

Hence the distance between the two parallel tangents will be the diameter of the circle

The distance AB = 10 cm in diameter of the circle

Hence radius will be half of the diameter which is 5 cm

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...