A boy goes around a circular park. What is the total angle subtended by him at the centre of the park when he completes 3 quarters of the circle?

$270^{\circ}$

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

$90^{\circ}$

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

$135^{\circ}$

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

$240^{\circ}$

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

Open in App

Solution

The correct option is A
$270^{\circ}$

One quarter subtends an angle of $90^{\circ}$ at the centre.

So, three quarters would subtend 3 $\times$ $90^{\circ}$ = $270^{\circ}$

Suggest Corrections

Similar questions

A boy is walking with a constant speed around a circular park. Initially the angle between the line joining his position to the centre and one of the radius of the park is $30^{\circ}$ . After two minutes the angle between the line joining his position to the centre and the the same radius of the park is once again $30^{\circ}$ . Find the total time that the boy takes to complete one round.

ram goes for a morning walk in a circular park of diameter. he completes one revolution of the park in 4 mins.find his velocity and speed after 22 mins

Q. Angle subtended by any chord of a circle at the centre of a circle is ___ the angle subtended at the major arc by the same chord.

Q. A boy is running around a rectangular park, whose sides are in the ratio of

4 : 3

, at the rate of

10

metre per second, and completes a round in

42

seconds. Calculate the area of the park.

Q. Rohan runs for 400 m in 1 complete round of the park. If he runs along the boundary of the park, what is the total length of the fence around the park?

Join BYJU'S Learning Program

A boy goes around a circular park. What is the total angle subtended by him at the centre of the park when he completes 3 quarters of the circle?

The correct option is A 270∘ One quarter subtends an angle of 90∘ at the centre. So, three quarters would subtend 3 × 90∘ = 270∘

The correct option is A
$270^{\circ}$

One quarter subtends an angle of $90^{\circ}$ at the centre.

So, three quarters would subtend 3 $\times$ $90^{\circ}$ = $270^{\circ}$