Tag: circle and its elements

Question 1

Multiple choice maths circle and its elements angle subtended by arc sector of a circle arcs and sectors

Points $A,B,C $ are on a circle, such that $m(arc AB)=m(arc BC)=^o$. No point, except point $B$, is common to the arcs.which is the type of $\triangle ABC$?

Scalene triangle
Right angled triangle
Isosceles triangle

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Answer

Equilateral triangle

Question 2

Multiple choice maths circle and its elements angle subtended by arc sector of a circle arcs and sectors

Find the area of a sector of a circle with radius $6$cm if angle of the sector is $60^o$.

$6\pi$
$7\pi$
$3\pi$
$5\pi$

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Answer

$\displaystyle \frac{\pi }{1016}$

Answer

$\dfrac{3 \pi}{4}$

Answer

not possible to be determined

Answer

$\dfrac{x^o}{360}\times \pi r^2$

Answer

$\cfrac { { 60 }^{ o } }{ \pi } $

Question 3

Multiple choice maths circle and its elements angle subtended by arc sector of a circle arcs and sectors

Consider a circle with unit radius. There are seven adjacent sectors, $S _1, S _2, S _3, ............ S _7$, in the circle such that their total area is $\dfrac {1}{8}$ of the area of the circle. Further, the area of the $j^{th}$ sector is twice that of the $(j-1)^{th}$ sector, for $j$ $=$ $2, ........... 7$. What is the area of sector $S _1?$

$\displaystyle \frac{\pi }{508}$
$\displaystyle \frac{\pi }{2040}$
$\displaystyle \frac{\pi }{1524}$

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Question 4

Multiple choice maths circle and its elements angle subtended by arc sector of a circle arcs and sectors

The angle subtended by the chord AB in the minor arc of S is -

$\dfrac{5 \pi}{6}$
$\dfrac{2 \pi}{3}$
$\dfrac{ \pi}{4}$

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Question 5

Multiple choice maths circle and its elements angle subtended by arc sector of a circle arcs and sectors

The length of minor arc $\overset{\frown}{AB}$ of a circle is $\dfrac{1}{4}$ of its circumference, then the measure of the angle subtended by the minor arc $\overset{\frown}{AB}$ will be ....

30
45
90
60

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Question 6

Multiple choice maths circle and its elements angle subtended by arc sector of a circle arcs and sectors

Let a semicircle with centre O and diameter AB. Let P and Q be points on the semicircle and R be a point on AB extended such that OA =QR < PR. If $\widehat{POA} = 102^0$ then $\widehat{PRA} $ is

$51^0$
$34^0$
$25.5^0$

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Question 7

Multiple choice maths circle and its elements angle subtended by arc sector of a circle arcs and sectors

With a given centre and a given radius,only one circle can be drawn.

True
False

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Question 8

Multiple choice maths circle and its elements angle subtended by arc sector of a circle arcs and sectors

If angle of sector is $x^o$, then formula used to calculate area is

$2\dfrac{x^o}{360}\times \pi r$
$\dfrac{x^o}{180}\times \pi r^2$
$2\dfrac{x^o}{360}\times r^2$

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Question 9

Multiple choice maths circle and its elements angle subtended by arc sector of a circle arcs and sectors

If the circumference of a circle is $8$ units and arc length of major sector is $5$ units then find the length of minor sector.

$3$ units
$5$ units
$7$ units
None of these

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Question 10

Multiple choice maths circle and its elements angle subtended by arc sector of a circle arcs and sectors

The angle subtended at the centre of a circle of radius $3cm$ by an arc of length $1cm$ is:

$\cfrac { { 30 }^{ o } }{ \pi } $
${ 60 }^{ o }$
None of the above

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