Day 35: CBSE Class 10 Maths

Areas Related to Circles. This type asked 4 times: 2023, 2024, 2025, 2026. This one: 2026

13

In the given figure, O is the centre of circle. XYZ is an arc of the circle subtending an angle of $45^\circ$ at the centre. If the radius of the circle is 32 cm, then the length of the arc XYZ is :

1. A.
   $4\pi$ cm
2. B.
   $8\pi$ cm
3. C.
   $64\pi$ cm
4. D.
   $128\pi$ cm

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Areas Related to Circles. This type asked 4 times: 2023, 2024, 2025, 2026. This one: 2026

27

Find the area of the segment AYB shown in the figure, if the radius of the circle is 21 cm and $\angle AOB = 120^\circ$. [Use $\pi = \dfrac{22}{7}$]

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Arithmetic Progressions. This type asked 4 times: 2022, 2024, 2025, 2026. This one: 2026

37 (i)

Show that number of dots given above form an A.P. Write the first term and common difference.

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37 (ii)

Write $n^{\text{th}}$ term of the A.P. formed.

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37 (iii) (a)

The pattern is expanded on a large ground. If total 220 dots are used, then find the number of squares formed.

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37 (iii) (b)

Is it possible to complete n number of squares using 100 dots ? If yes, then find the value of n.

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Circles. This type asked 4 times: 2023, 2024, 2025, 2026. This one: 2026

Circles. This type asked 4 times: 2023, 2024, 2025, 2026. This one: 2026

14

PA and PB are tangents to a circle centred at O. If $\angle PBA = 65^\circ$, then $\angle APB$ equals :

1. A.
   $65^\circ$
2. B.
   $60^\circ$
3. C.
   $50^\circ$
4. D.
   $35^\circ$

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