Uttarakhand Board Class 10 Areas Related to Circles — practice questions — page 2

Explore 36 free Areas Related to Circles questions in Uttarakhand Board Class 10 Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Areas Related to Circles questions and exercises with answers

Showing questions 31–36 of 36.

A chord 16 cm long is drawn in a circle of radius 10 cm. The distance of the chord from the centre isRead the answer and worked solution →Merge quarters into a whole circleRead the answer and worked solution →Match each part of a circleRead the answer and worked solution →Key in the circle answerRead the answer and worked solution →Sector or segment?Read the answer and worked solution →True or false: circles and sectorsRead the answer and worked solution →

Worked practice questions

A chord 16 cm long is drawn in a circle of radius 10 cm. The distance of the chord from the centre is

4 cm
8 cm
6 cm
12 cm

Show answer and solution

Correct answer: C. 6 cm

1. Half-chord = 8; right triangle with hypotenuse = radius 10. 2. d squared = 10 squared - 8 squared = 100 - 64 = 36. 3. d = 6 cm. _Source: syllabus Mathematics, Ch 11 "Areas Related to Circles", §11.2_

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Merge quarters into a whole circle

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Sequence

Item
Quadrant
Item
Semicircle
Item
Circle

Instructions

Tap two tiles showing the same slice of a circle. The pair folds into the slice twice as big.

_Source: syllabus Mathematics, Ch 11 "Areas Related to Circles", §11.2_

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Match each part of a circle

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Matching pairs

Left
Sector
Right
Two radii and the arc between them
Left
Segment
Right
A chord and the arc that matches it
Left
Minor sector
Right
The smaller of the two sectors
Left
Major sector
Right
The one whose angle is 360 minus AOB

Instructions

Tap a part on the left, then tap what encloses it.

_Source: syllabus Maths Ch11 Areas Related to Circles, 11.1 Areas of Sector and Segment of a Circle_