The inside perimeter of a running track Is 400m The length of each of straight portions is 90m and the ends are semicircle. If track is 14m wide Find length of outer track and area of track

Class: 9

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480, 6100

488, 6126

520, 6300

400, 6000

answer is B.

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Detailed Solution

Inside perimeter of track = 400m
total length of two straight portions = 90 + 90 = 180
The length of remaining portion = 400 – 180 = 220m
Circumference of two remaining semi circle is πr + πr
= 2 π r
⇒ 2 π r = 220
r = 35π
The radius of circular portion of outer track = 35714
= 49m
Area of Track = Area of two rectangular dimensions
The area of circular rings
= 2520 + 3616
= 6126m2
Length of outer track
= 180 + 308
= 488m

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