You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Other

Quantitative Aptitude

Circles

P, Q, S and R...

Question

P, Q, S and R are points on the circumference of a circle of radius r, such that PQR is an equilateral triangle and PS is a diameter of the circle. What is the perimeter of the quadrilateral PQSR?

2 r (1 + \sqrt{3})

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

2 r (2 + \sqrt{3})

No worries! We‘ve got your back. Try BYJU‘S free classes today!

r (1 + \sqrt{5})

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2 r + \sqrt{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $2 r (1 + \sqrt{3})$
Option (A) is the correct answer. Check the video for the approach.

Suggest Corrections

Similar questions

Q. Let PQ and RS be tangents at the extremities of the diameter PR of a circle of radius r. If PS and RQ intersect at a point X on the circumference of the circle, then 2r equals

Q. For a

△ P Q R

with points

P, Q

and

R

lying on a circle, if

R P

is the diameter of the circle and

P Q = 5 c m

and

Q R = 12 c m

. Find radius of the circle.

Q. PQRS is a diameter of a circle of radius 6 cm. The lengths PQ, QR and RS are equal. Semicircles are drawn with PQ and QS as diameters, as shown in the given figure. If PS = 12 cm, find the perimeter and area of the shaded region.

Three small spheres each carrying a positive charge $q$ are placed on the circumference of a circle of radius $r$ to form an equilateral triangle. The electric field at the centre of the circle is :

Q. Triangle is equilateral with side

A

, perimeter

P

, area

K

and circumradius

R

(radius of the circumscribed circle). Triangle is equilateral with side

a

, perimeter

p

, area

k

, and circumradius

r

. If

A

is different from

a

, then

Join BYJU'S Learning Program

P, Q, S and R are points on the circumference of a circle of radius r, such that PQR is an equilateral triangle and PS is a diameter of the circle. What is the perimeter of the quadrilateral PQSR?

The correct option is A 2r(1+√3)Option (A) is the correct answer. Check the video for the approach.

The correct option is A $2 r (1 + \sqrt{3})$
Option (A) is the correct answer. Check the video for the approach.