A dinner plate is in the form of a circle.A circle region encloses a beautiful design as shown in the figure below.The inner circumference is 352 mm and the outer is 396 mm. Find the area of the design in cm²

A: 124.69

B: 98.52

C: 90.57

D: 26.14

Correct Answer : D

Radius of outer

Circumference = 2π×r

396 = 2×(22/7)×r

396 = 6.29r

Divide both sides by 6.29 to find r

R = 62.96mm

Convert mm to cm

1cm =10mm

=6.3 cm

Area of outer circle

Area =π×r²

=(22/7)×6.3²

= 124.74 cm²

Radius of inner

Circumference =2π×r

352=2×(22/7)×r

352=6.29r

Divide both sides by 6.29 to find r

=55.96mm

10mm =1cm

R= 5.6 cm

Area of inner

Area=πr²

(22/7)×5.6²

= 98.56 cm²

Area of design

=area of bigger circle - area of inner circle

=124.74 -98.56

=26.14 cm²

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