Home
Class 10
MATHS
Fig. 12.26 depicts a racing track whose ...

Fig. 12.26 depicts a racing track whose left and right ends are  semicircular. The distance between the two inner parallel line segments is 60 m and they are each 106 m long. If the track is 10 m wide, find :(i) the distance around the track along its inner edge(ii) the area of the track.

Text Solution

AI Generated Solution

To solve the problem step by step, we will find the distance around the track along its inner edge and then calculate the area of the track. ### Step 1: Understanding the Track Configuration The racing track consists of two straight segments and two semicircular ends. The distance between the two inner parallel line segments is 60 m, and each segment is 106 m long. ### Step 2: Calculate the Radius of the Semicircles The distance between the two inner parallel segments is the diameter of the semicircles. Therefore, the radius \( R \) of the semicircles is: \[ ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • AREAS RELATED TO CIRCLES

    NCERT ENGLISH|Exercise Exercise 12.2|14 Videos

  • AREAS RELATED TO CIRCLES

    NCERT ENGLISH|Exercise EXERCISE 12.1|5 Videos

  • ARITHMETIC PROGRESSIONS

    NCERT ENGLISH|Exercise All Questions|65 Videos

Similar Questions

Explore conceptually related problems

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

The inner circumference of a circular track is 440 m. The track is 3.5 m wide all around Find the outer circumference and also the area of the track.

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

An athletic track 14 m wide consists of two straight sections 120 m long joining and semicircular ends inner diameter 35 m . find area of track

A small sphere rolls down without slipping from the top of a track in a vertical plane. The track has an elevated section and a horizontal part. The horizontall part is 1.0 meter above the ground level and the top of the track is 2.4 meter above the ground. Find the distance on the ground with respect to a point B ( which is vetically below the end A of the track as shown in fig.) where the sphere lands. . (A) 1 m (B) 2 m ( C) 3 m (D) 4 m .

Two parallel rails of a railway track insulated from each other and with the ground are connected to a millivoltmeter. The distance between the rails is one metre. A train is traveling with a velocity of 72 km ph along the track. The reading of the millivoltmetre (in m V ) is : (Vertical component of the earth's magnetic induction is 2 xx 10^(-5) T )

The area of a trapezium is 384\ c m^2 . Its parallel sides are in the ratio 3:5 and the perpendicular distance between them is 12cm. Find the length of each one of the parallel sides.

A race track is in the form of a ring whose inner circumference is 352 m and the outer circumference is 396 m. Find the width of the track.

A race track is in the form of a ring whose inner circumference is 352 m, and the outer circumference is 396 m. Find the width of the track.

Home
Profile