CBSE Class 10 Maths (Basic) 2023 · Paper 430/2/1 · Question 36

Areas Related to Circles 4 marks Hard

Flower beds look beautiful growing in gardens. One such circular park of radius 'r' m, has two segments with flowers. One segment which subtends an angle of

9 0^{\circ}

at the centre is full of red roses, while the other segment with central angle

6 0^{\circ}

is full of yellow coloured flowers. It is given that the combined area of the two segments (of flowers) is

256 \frac{2}{3}

sq. m.

Circle with two flower segments (90 deg red, 60 deg yellow).

(i)Write an equation representing the total area of the two segments in terms of 'r'.[1]
(ii)Find the value of 'r'.[1]
(iii)(a)Find the area of the segment with red roses.[2]
(iii)(b)OR Find the area of the segment with yellow flowers.[2]

Answer

(i)

\frac{5}{12} π r^{2} = 256 \frac{2}{3}

; (ii)

r = 14

m; (iii a) red roses

= 154

^{2}

; (iii b) yellow flowers

= \frac{308}{3} \approx 102.67

^{2}

🔒 Step-by-step solution

From the board paper

CBSE Class 10 Maths (Basic) 2023 · Paper 430/2/1, Question 36 — all 38 questions with answers →

CBSE Class 10 Maths (Basic) 2023 · Paper 430/2/1 · Question 36

Answer

From the board paper

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