Question

# A circle is inscribed in a trapezium PQRS. If PS = 25 cm, PQ = 18 cm and SR = 32 cm, what is the length of the diameter of the circle?

A
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
23
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
Cannot be determined
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
24
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

## The correct option is D 24Since length of tangents drawn from a particular point to the circle is equal, by solving we get QR is equal to PS. Hence PQRS is an isosceles trapezium. Drawing perpendicular from P to SR intersecting at A and Q to SR intersecting at B. Hence in right angled Δ PSA, PS = 25, SA = 7. Hence PA = 24. Height PA = 24 cm. Therefore, diameter of circle is 24 cm.

Suggest Corrections
2
Join BYJU'S Learning Program
Select...
Related Videos
Drawing Tangents to a Circle
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
Select...