Question : A circle and a rectangle have the same perimeter. The sides of the rectangle are 18 cm and 26 cm. The area of the circle is: (take $\pi=\frac{22}{7}$)
Option 1: 125 cm2
Option 2: 230 cm2
Option 3: 550 cm2
Option 4: 616 cm2
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Correct Answer: 616 cm 2
Solution : Given: A circle and a rectangle have the same perimeter. The sides of the rectangle are 18 cm and 26 cm. So the perimeter of the rectangle is = 2 × (18 + 26) = 88 cm According to the question, The circumference of the circle is 88 cm. So, $2\pi r=88$ ⇒ $\frac{2×22×r}{7}=88$ ⇒ $r=\frac{88×7}{2×22}$ ⇒ $r=14$ So, the area of the circle is = $\pi r^2$ = $\frac{22}{7}×14×14$ = $616$ cm 2 . Hence, the correct answer is 616 cm 2 .
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Question : The volume of a cylinder is 4312 cm3. Its curved surface area is one-third of its total surface area. Its curved surface area (in cm2) is: (Take $\pi=\frac{22}{7}$ )
Question : An arc on a circle, whose length is 19.25 cm, subtends an 18° angle at the centre. What is the area of the circle? [Use $\pi = \frac{22}{7}$]
Question : The slant height of a cone is 20 cm. If the area of its base is 616 cm2, then what is the curved surface area of this cone? (use $\pi=\frac{22}{7}$)
Question : An arc of length 23.1 cm subtends an 18° angle at the centre. What is the area of the circle? $\mathrm{[Use ~\pi=\frac{22}{7} ]}$
Question : If the surface area of a sphere is 346.5 cm2, then its radius is: (Take $\pi=\frac{22}{7}$)
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