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Question

Mathematics Question on Circles

Find the area of the following circles, given that:

  1. radius = 14 mm (Take π\pi = 227\frac{22}{7} )
  2. diameter = 49 m
  3. radius = 5 cm
Answer

(a) r=14  mmr=14\; mm
Area = πr2\pi r^2

=227×14×14=\frac{22}{7}\times 14 \times 14

= 616  mm2616 \; mm^2


(b) d=49  md = 49 \; m

r=492  mr=\frac{49}{2}\;m

Area = πr2\pi r^2

=227×492×492= \frac{22}{7}\times \frac{49}{2} \times \frac{49}{2}

= 1886.5  m21886.5\;m^2


(c) r=5cmr= 5 cm

Area = πr2\pi r^2

=227×5×5=\frac{22}{7}\times 5\times 5

= 5507\frac{550}{7}

= 78.57  cm278.57\;cm^2