Subject: Compulsory Maths
A circle is a plane figure bounded by a curved line and every point of the line is equidistance from a fixed point called the centre of the circle.
Define circle.
A circle is a plane figure bounded by a curved line and every point of the line is equidistance from a fixed point called centre of the circle.
Mention the different parts of a circle.
The different parts of a circle are:
Draw the following figures and find out the centre:
Figure (a)
Figure (b)
Figure(c)
Solution:
Centre of figure a) = O
Centre of figure b) = P
Centre of figure c) = A
Find the radii, chords, diameters, sectors, arcs, segments and semi-circles from following figures:
Figure (a)
Figure (b)
Figure (c)
Solution:
Figure a) = radii OA and OB, sector OAXB and arc AXB
Figure b) = segment CDY and Chord CD
Figure c) = semi-circle MYN and MXN, diameter MN
Copy the figures and find the opposite arc of each angle:
Figure (a)
Figure (b)
Figure (c)
Figure (d)
Solution:
Angle | Opposite Arc |
\(\angle\)ABC | AXC |
\(\angle\)PQR | PYR |
\(\angle\)KLM, \(\angle\)KNM, \(\angle\)LKN, \(\angle\)LMN | KPM, LN |
\(\angle\)ABC, \(\angle\)ADC, \(\angle\)BAD, \(\angle\)BCD | AEC, BD |
Copy the figures and find the centre and radii. Also find the arc opposite to each angle.
Figure (a)
Figure (b)
Figure (c)
Figure (d)
Figure (e)
Figure (f)
Figure (g)
Figure (h)
Solution:
Centre and Radii of figure a) = OA and OB
Centre and Radii of figure b) = CP and DP
Centre and Radii of figure c) = EQ and FQ
Centre and Radii of figure d) = KM and KN
Angle | Opposite Arc |
\(\angle\)AOB | AXB |
\(\angle\)CPD | CYD |
\(\angle\)EQF | EZF |
\(\angle\)MKN | MSN |
What is the difference between the radius and diameter of a circle?
The straight line drawn from the centre of a circle to a point on its circumference is called the radius of a circle whereas the chord that passes through the centre of a circle is called the diameter of a circle.
What is the difference between the chord and segment of a circle?
The straight line segment that joins any two points on the circumference of a circle is called the chord of a circle. However, The region bounded by an arc and its corresponding chord is called the segment of a circle.
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