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
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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