Question

11. (i) The inner circumference of a circular track is
440 m. The track is 14 m wide. Find the diameter
22
of the outer circle of the track. (Take it​

Answer 1

..QUESTION..

☯︎ The inner circumference of a circular track is 440 m . The track is 14 m wide . Find the diameter and circumference of the outer circle of the track .

..ANSWER..

Given ,

ㅤㅤㅤ➪ Inner circumference = 440 m

ㅤㅤㅤ➪ width of the track = 14 m

߷ we have to find diameter of the inner circle

➪ Circumference of circle = 440 m

ㅤㅤㅤ➪ 2 π r = 440 m

ㅤㅤㅤ➪ 2 × 22/7 × r = 440

ㅤㅤㅤ➪ 22/7 × r = 440/2

ㅤㅤㅤ➪ 22 × r = 220 × 7

ㅤㅤㅤ➪ r = 1540 / 22

ㅤㅤㅤ➪ r = 70ㅤㅤㅤㅤ----------- ( 1 )

°•° Inner radius of the circle = 70 m

߷ Inner diameter of the " = 2 × 70 m

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ = 140 m

☯︎ We are given that ,

➪ width of the track = 14 m

߷ Radius of outer circle =

➪ inner circle radius + track width

ㅤㅤㅤ➪ 70 m + 14 m

ㅤㅤㅤ➪ 84 m

∵ Outer radius = 84 m

߷ Outer diameter = 2 × 84 m

ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= 168 m

Now ,

☯︎ Circumference of the outer circle

ㅤㅤㅤ➪ 2 π r

ㅤㅤㅤ➪ 2 × 22/7 × 84

ㅤㅤㅤ➪ 44 × 12

ㅤㅤㅤ➪ 528

߷ Circumference of the outer field = 528 m

____________________

Give a look here ,

• FORMULAS

☯︎ Circumference of circle ➪ 2πr

☯︎ Area of circle ➪ π r²

☯︎ Perimeter of square ➪ 4 s

☯︎ Area of square ➪ s²

☯︎ Perimeter of rectangle ➪ 2 (l + b)

☯︎ Area of rectangle ➪ l × b

ㅤㅤㅤ꧁ ʙʀᴀɪɴʟʏ×ᴋɪᴋɪ ꧂

ㅤㅤㅤ