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Mathematics

The diameter of a circle is 28 cm. Find its :

(i) circumference

(ii) area

Mensuration

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Answer

Given:

Diameter = d = 28 cm

Radius = r = d2\dfrac{d}{2} = 282\dfrac{28}{2} = 14 cm

(i) Circumference of a circle = 2πr

=2×227×14=447×14=6167=88 cm= 2 \times \dfrac{22}{7} \times 14\\[1em] = \dfrac{44}{7} \times 14 \\[1em] = \dfrac{616}{7}\\[1em] = 88 \text{ cm}

Hence, the circumference of a circle is 88 cm.

(ii) Area of a circle = πr2

=227×142=227×196=4,3127=616 cm2= \dfrac{22}{7} \times 14^2\\[1em] = \dfrac{22}{7} \times 196\\[1em] = \dfrac{4,312}{7}\\[1em] = 616 \text{ cm}^2

Hence, the area of a circle is 616 cm2.

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