In $\odot( O , r),$ the length of minor $\widehat{ ACB }$ is one-eighth of the circumference of the circle. Then, the measure of the angle subtended at the centre by that arc is $\ldots \ldots \ldots \ldots$
In $\odot( O , r),$ the length of minor $\widehat{ ACB }$ is one-eighth of the circumference of the circle. Then, the measure of the angle subtended at the centre by that arc is $\ldots \ldots \ldots \ldots$
- A
$60$
- B
$45$
- C
$75$
- D
$90$
Similar Questions
The length of minor $\widehat{ AB }$ of a circle is $\frac{1}{4}$ th of its circumference, then the measure of the angle subtended by minor $\widehat{ AB }$ at the centre will be $\ldots .$
The length of minor $\widehat{ AB }$ of a circle is $\frac{1}{4}$ th of its circumference, then the measure of the angle subtended by minor $\widehat{ AB }$ at the centre will be $\ldots .$
Sides of a triangular field are $15\, m , 16 \,m$ and $17\, m$. With the three corners of the field a cow, a buffalo and a horse are tied separately with ropes of length $7 \,m$ each to graze in the field. Find the area of the field which cannot be grazed by the three animals.
Sides of a triangular field are $15\, m , 16 \,m$ and $17\, m$. With the three corners of the field a cow, a buffalo and a horse are tied separately with ropes of length $7 \,m$ each to graze in the field. Find the area of the field which cannot be grazed by the three animals.
The maximum area of a triangle inscribed in a semicircle with diameter $50 \,cm$ is........... $cm^{2}$
The maximum area of a triangle inscribed in a semicircle with diameter $50 \,cm$ is........... $cm^{2}$
Which of the following correctly matches the information given in Part $I$ and Part $II$ ?
Part $I$
Part $II$
$1.$ Formula to find the length of a minor arc
$a.$ $C=2\pi r$
$2.$ Formula to find the area of a minor sector
$b.$ $A =\pi r^{2}$
$3.$ Formula to find the area of a circle
$c.$ $l=\frac{\pi r \theta}{180}$
$4.$ Formula to find the circumference of a circle
$d.$ $A=\frac{\pi r^{2} \theta}{360}$
Which of the following correctly matches the information given in Part $I$ and Part $II$ ?
| Part $I$ | Part $II$ |
| $1.$ Formula to find the length of a minor arc | $a.$ $C=2\pi r$ |
| $2.$ Formula to find the area of a minor sector | $b.$ $A =\pi r^{2}$ |
| $3.$ Formula to find the area of a circle | $c.$ $l=\frac{\pi r \theta}{180}$ |
| $4.$ Formula to find the circumference of a circle | $d.$ $A=\frac{\pi r^{2} \theta}{360}$ |
Find the diameter of the circle whose area is equal to the sum of the areas of the two circles of diameters $20\, cm$ and $48 \,cm .$ (in $cm$)
Find the diameter of the circle whose area is equal to the sum of the areas of the two circles of diameters $20\, cm$ and $48 \,cm .$ (in $cm$)