CBSE Class 10 Maths (Basic) 2023 · Paper 430/6/1 · Question 36

Areas Related to Circles 4 marks Very hard

For the inauguration of 'Earth day' week in a school, badges were given to volunteers. Organisers purchased these badges from an NGO, who made these badges in the form of a circle inscribed in a square of side

8

cm.

O

is the centre of the circle and

∠ A O B = 9 0^{\circ}

. Based on the above information, answer the following questions.

Circle inscribed in square ABCD, side 8 cm, with 90 degrees sector

(i)What is the area of square ABCD?[1]
(ii)What is the length of diagonal AC of square ABCD?[1]
(iii)Find the area of sector OPRQO.[2]
(iii) ORFind the area of the remaining part of square ABCD when area of circle is excluded.[2]

Answer

(i)

64

^{2}

; (ii)

82 \approx 11.31

cm; (iii) Sector

= \frac{88}{7} \approx 12.57

^{2}

, OR remaining region

\approx 13.71

^{2}

🔒 Step-by-step solution

From the board paper

CBSE Class 10 Maths (Basic) 2023 · Paper 430/6/1, Question 36 — all 38 questions with answers →

CBSE Class 10 Maths (Basic) 2023 · Paper 430/6/1 · Question 36

Answer

From the board paper

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