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Calculate the area of a circle with radius 14 cm. - OCR - GCSE Maths - Question 13 - 2019 - Paper 1

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Calculate the area of a circle with radius 14 cm.

Worked Solution & Example Answer:Calculate the area of a circle with radius 14 cm. - OCR - GCSE Maths - Question 13 - 2019 - Paper 1

Step 1

Calculate the area of a circle

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Answer

To find the area of a circle, we use the formula:

A = rac{22}{7} r^2

where:

  • AA is the area
  • rr is the radius of the circle.

Given that the radius r=14r = 14 cm, we can substitute it into the formula:

A = rac{22}{7} (14)^2

Now, calculate (14)2(14)^2:

(14)2=196(14)^2 = 196

Next, substitute this back into the area formula:

A = rac{22}{7} imes 196

Performing the multiplication:

A = rac{22 imes 196}{7} Now, simplify:

rac{22 imes 196}{7} = 22 imes 28 = 616

Thus, the area of the circle is 616extcm2616 ext{ cm}^2.

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