Question
Download Solution PDFFrom a circular plate of diameter 6 cm, a circle is cut out whose diameter is radius of the plate. The area of the remaining plate is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Area of Circle = πR2
Where R = radius of the circle
D = 2R
D = Diameter of circle
Calculation:
Given:
The Diameter of the circular plate = 6 cm
The diameter of the circle to be cut = 3 cm
\(Radius \ of \ circular \ plate=\frac{6}{2}=3 \ cm\)
\(Radius \ of \ circle=\frac{3}{2} \ cm \)
Required Area = Area of the circular plate - Area of the circle
Area = π32 - π(1.5)2
\(Area \ =\pi(9 \ - \ \frac{9}{4})\)
\(Area=\frac{27\pi}{4} \ cm^2\)
Hence option (2) is the correct answer
Last updated on May 30, 2025
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