CBSE Class 10 Maths (Basic) 2025 · Paper 430/5/1 · Question 37

Areas Related to Circles 4 marks Medium

A farmer has put up a decorative windmill in his farm in which there are eight blades of equal width and equally placed in a circular arrangement. A circular wire goes through them. The diagram shows two blades

O A B

and

O P Q

in a quarter circle with centre

O

∠ A O B = ∠ P O Q = 3 0^{\circ}

O A = 28

cm,

O C = 21

cm.

O

is the centre of both the circles.

Windmill schematic

(i)Determine the measure of $∠ B O P$ .[1]
(ii)Find length of arc $C D$ .[1]
(iii)(a)Find the area of region $C A B D$ .[2]
(iii)(b)OR Find the perimeter of region $C A B D$ .[2]

Answer

(i)

∠ B O P = 1 5^{\circ}

; (ii) Arc

C D = 11

cm; (iii)(a) Area of region

C A B D = \frac{539}{6} \approx 89.83 cm^{2}

; (iii)(b) Perimeter of region

C A B D = \frac{119}{3} \approx 39.67

cm.

🔒 Step-by-step solution

From the board paper

CBSE Class 10 Maths (Basic) 2025 · Paper 430/5/1, Question 37 — all 38 questions with answers →

CBSE Class 10 Maths (Basic) 2025 · Paper 430/5/1 · Question 37

Answer

From the board paper

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