CBSE Class 10 Maths (Basic) 2023 · Paper 430/1/1 · Question 37

Areas Related to Circles 4 marks Medium

Interschool Rangoli Competition was organized by one of the reputed schools of Odisha. The theme of the Rangoli Competition was Diwali celebrations where students were supposed to make mathematical designs. Students from various schools participated and made beautiful Rangoli designs. One such design is given below. Rangoli is in the shape of a square marked as

A B C D

, side of square being

40

cm. At each corner of a square, a quadrant of circle of radius

10

cm is drawn (in which diyas are kept). Also a circle of diameter

20

cm is drawn inside the square. Based on the above, answer the following questions.

Rangoli design: square with corner quadrants and a central circle

(i)What is the area of square $A B C D$ ?[1]
(ii)Find the area of the circle.[1]
(iii)If the circle and the four quadrants are cut off from the square $A B C D$ and removed, find the area of the remaining portion of square $A B C D$ .[2]
(iii OR)Find the combined area of the $4$ quadrants and the circle, removed.[2]

Answer

(i)

1600

^{2}

; (ii)

\approx 314.29

^{2}

; (iii) Remaining

\approx 971.42

^{2}

; (iii OR) combined

\approx 628.57

^{2}

🔒 Step-by-step solution

From the board paper

CBSE Class 10 Maths (Basic) 2023 · Paper 430/1/1, Question 37 — all 38 questions with answers →

CBSE Class 10 Maths (Basic) 2023 · Paper 430/1/1 · Question 37

Answer

From the board paper

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