Home
Class 10
MATHS
The given figure (not drawn to scale) sh...

The given figure (not drawn to scale) shows a running track surrounding a grassed enclosure PQRSTU. The enclosure consists of rectangle PQST with two semicircular ends.

(i) Calculate the area of the grassed enclosure.
(ii) Given that the track is of constant width 7 m, calculate the outer perimeter ABCDEF of the track.
[Take ` pi = (22)/(7)`]

A

`{:("(i) (ii)"),(17850 m^(2) " " 532 m ):}`

B

`{:("(i) (ii)"),(17850 m^(2) " " 664 m ):}`

C

`{:("(i) (ii)"),(12320 m^(2) " " 532 m ):}`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • IMO QUESTION PAPER 2018 SET A

    SCIENCE OLYMPIAD FOUNDATION |Exercise Everyday Mathematics |10 Videos
  • IMO QUESTION PAPER 2017 SET-B

    SCIENCE OLYMPIAD FOUNDATION |Exercise Achievers Section|5 Videos
  • IMO QUESTION PAPER 2018 SET B

    SCIENCE OLYMPIAD FOUNDATION |Exercise ACHIEVERS SECTION|5 Videos

Similar Questions

Explore conceptually related problems

The inner perimeter of a running track (shown in figure) is 400 m. The length of each of the straight portion is 90 m and the ends are semicircular. If the track is everywhere 14 m wide, find the area of the track. Also, find the length of the outer running track.

The inner circumference if a circular track is 220m. The track is 7m wide everywhere. Calculate the cost of putting up a fence along the outer circle at the rate of Rs.2 per metre.(U se pi(22)/(7))

The outer circumference of a circular race-track is 528 m. The track is everywhere 14 m wide. Calculate the cost of levelling the track at the rate of 50 paise per square metre (U s e\ \ pi=22//7) .

A cyclist goes around a circular track once every 2 minutes. If the radius of the circular track is 105 metre, calculate his speed. (Given pi= (22)/(7) )

The given figure depicts a racing track whose right and left ends are semicircular. The distance between the two inner parallel line segments is 60m and they are each 106m long. If the track is 10m wide.(i) the distance around the track along its inner edge (ii) The area of the track. Running should be made compulsory for students, give your opinion.

In the given figure, AB is the diameter of the largest semi-circle. AB = 21 cm, AM = MN = NB. Semi-circles are drawn with AM, MN and NB as shown. Using pi = (22)/(7) , calculate the area of the shaded region.

Following figure depicts a park where two opposite sides are parallel and left and right ends are semi-circular in shape. It has a 7 m wide track for walking. Two friends Seema and Meena went to the park. Find the area of outer semi-circular portion.