Case Study – 3 Harit has to cut a circular pizza into equal slices such that he and all of his 7 friends get a slice…

CBSE Class 10 Maths PYQ · Areas Related to Circles · Sector Area · 4 Marks · July 2025 · Standard

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434 Marks · July 2025 · Standard
Case Study – 3
Harit has to cut a circular pizza into equal slices such that he and all of his $7$ friends get a slice of same size. The pizza is $35$ cm in diameter.
Based on the information given above, answer the following questions :
(i) How many times will Harit have to make a cut along the diameter to make $8$ slices ?
(ii) What is the radius of each slice?
(iii) (a) Find the area of each slice of pizza.
OR
(iii) (b) Find the area of the entire pizza.
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(i) $4$ times
(ii) Radius = $17.5$ cm
(iii) (a) Area of each slice = $\frac{45}{360} \times \frac{22}{7} \times (17.5)^2$
$= 120.31$ cm$^2$ approx.
OR
(b) Area of entire pizza = $\frac{22}{7} \times (17.5)^2$
$= 962.5$ cm$^2$
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