CBSE Class 10 Maths (Basic) 2024 · Paper 430/3/1 · Question 37

Areas Related to Circles 4 marks Very hard

NSS (National Service Scheme) aims to connect the students to the community and to involve them in problem solving process. NSS symbol is based on the 'Rath' wheel of the Konark Sun Temple situated in Odisha. The wheel signifies the progress cycle of life. The diagramatic representation of the symbol is given below. Observe the figure given above. The diameters of inner circle are equally placed. Given that

O P = 21

cm,

O S = 10

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

(i)Find $m ∠ R O S$ .
(ii)Find the perimeter of sector OPQ. (iii)(a) Find the area of shaded region PQRS. OR (iii)(b) Find the area of shaded region ACB i.e. the segment ACB.

NSS wheel with concentric circles and shaded regions

(i)Find $m ∠ R O S$ .[1]
(ii)Find the perimeter of sector OPQ.[1]
(iii)(a)Find the area of shaded region PQRS.[2]
(iii)(b)Find the area of shaded region ACB i.e. the segment ACB.[2]

Answer

(i)

∠ R O S = 4 5^{\circ}

; (ii) Perimeter of sector OPQ

= 58.5

cm; (iii)(a) Area of region PQRS

= \frac{3751}{28} \approx 133.96 cm^{2}

; OR (iii)(b) Area of segment ACB

= \frac{200}{7} \approx 28.57 cm^{2}

🔒 Step-by-step solution

From the board paper

CBSE Class 10 Maths (Basic) 2024 · Paper 430/3/1, Question 37 — all 38 questions with answers →

CBSE Class 10 Maths (Basic) 2024 · Paper 430/3/1 · Question 37

Answer

From the board paper

More questions from Areas Related to Circles