rlyneefmagh rlyneefmagh
  • 15-06-2021
  • Mathematics
contestada

Work out the area of a circle whose diameter is equal to 14 cm.
Give your answer correct to 2 decimal places.
cm?

help

Respuesta :

erinna erinna
  • 20-06-2021

Given:

The diameter of the circle = 14 cm

To find:

The area of the circle.

Solution:

We have,

Diameter of the circle = 14 cm

We know that the radius of the circle is half of its diameter. So,

[tex]r=\dfrac{14}{2}[/tex]

[tex]r=7\text{ cm}[/tex]

The area of a circle is:

[tex]A=\pi r^2[/tex]

Substituting [tex]\pi=\dfrac{22}{7}, r=7[/tex] in the above formula, we get

[tex]A=\dfrac{22}{7}\times (7)^2[/tex]

[tex]A=22\times 7[/tex]

[tex]A=154[/tex]

Therefore, the area of the circle is 154 square cm.

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