Math, asked by singhgaganpreet932, 18 days ago

the circumfrance of a circle 45 cm what is length of its diameter

Answers

Answered by FIREBIRD
3

Answer:

The Diameter of the Circle is 14.32 cm

Step-by-step explanation:

We Have :-

Circumference / Perimeter of the Circle = 45 cm

To Find :-

Diameter of the circle

Formula Used :-

Perimeter of Circle =

2 \: \pi \: r

Solution :-

perimeter \:  =  \: 2 \: \pi \: r \\  \\ 45 \:  =  \: 2 \: \pi \: r \\  \\ \pi \: r \:  =  \:   \dfrac{45}{2}  \\  \\ r \:  =  \:  \dfrac{45}{2 \: \pi}  \\  \\ r \:  =  \:  \dfrac{45 \times 7}{2 \times 22}  \:  \:  \:  \: ( \: value \: of \: \pi \:  =  \:  \dfrac{22}{7}  \: ) \\  \\ r \:  =  \: 7.16 \: cm \\  \\ so \:  \:  \:  \:  \:  \:  \: diameter \:  =  \: 2 \: r  \\  \\ d \:  =  \: 2 \times 7.16 \\  \\ d \:  =  \: 14.32 \: cm

Answered by Ujjwal202
2

> length of its diameter is 14.31cm is the required answer

Correct Question

  • The circumfrance of a circle 45 cm what is length of its diameter

Given

  • circumfrance of a circle 45 cm

To find

  • length of its diameter ?

Approach

  • We will apply the formula and find it's radius
  • then, from radius we will drive it's diameter

Formula

  • Circumference of a circle = (2 π r)
  • Diameter = 2 r

Assumption

  • we will assume,
  • Let, the radius be r

Solution

  • it is given that,
  • Circumference of circle is 45cm

Therefore,

=> 45 = 2 π r

=> 45 = 2 x 22/7 x r

=> r = 45/2 x 7/22

=> r = 7.15 cm

Hence,

Diameter = 2 x r = 2 x 7.15 = 14.31cm

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