Maths-
General
Easy

Question

Find the shaded area between two circles.

  1. 56.52 cm2
  2. 50.28 cm2
  3. 48 cm2
  4. 45.4 cm2

The correct answer is: 50.28 cm2


    Area of circle is given by πr2
    Let r and R be radius of smaller and bigger circle respectively
    ∴r=3 cm; R=5 cm
    Area of circle with radius r=πr2
    not stretchy rightwards double arrow 22 over 7 cross times 5 cross times 5
    Area of circle with radius R=πR2
    not stretchy rightwards double arrow 22 over 7 cross times 5 cross times 5
    Area of shaded part between circle is
    straight pi straight R squared minus straight pi straight r squared
straight i. text e.  end text 22 over 7 cross times 5 cross times 5 minus 22 over 7 cross times 3 cross times 3
not stretchy rightwards double arrow 22 over 7 left square bracket 5 cross times 5 minus 3 cross times 3 right square bracket
not stretchy rightwards double arrow space of 1em 22 over 7 cross times left square bracket 25 minus 9 right square bracket
not stretchy rightwards double arrow 22 over 7 cross times left square bracket 16 right square bracket
not stretchy rightwards double arrow 362 over 7
not stretchy rightwards double arrow 50.28 cm squared

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