Length of a minor arc in a circle with radtus $28\, cm$ is $22\, cm$. Find the measure of the fwo angle subtended at the centre by this arc. Also find the area of the sector formed by this arc.
Length of a minor arc in a circle with radtus $28\, cm$ is $22\, cm$. Find the measure of the fwo angle subtended at the centre by this arc. Also find the area of the sector formed by this arc.
$45,308 cm ^{2}$
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In $\odot( O , r),$ the length of minor $\widehat{ ACB }$ is $\frac{1}{6}$ times the circumference of the circle. Then, the measure of the angle subtended at the centre by minor $\widehat{ ACB }$ is .........
In $\odot( O , r),$ the length of minor $\widehat{ ACB }$ is $\frac{1}{6}$ times the circumference of the circle. Then, the measure of the angle subtended at the centre by minor $\widehat{ ACB }$ is .........
In $Fig.$ arcs are drawn by taking vertices $A , B$ and $C$ of an equilateral triangle of side $10 \, cm$. to intersect the sides $BC, CA$ and $AB$ at their respective mid-points $D , E$ and $F$. Find the area of the shaded region (Use $\pi=3.14)$ (in $cm ^{2}$)
In $Fig.$ arcs are drawn by taking vertices $A , B$ and $C$ of an equilateral triangle of side $10 \, cm$. to intersect the sides $BC, CA$ and $AB$ at their respective mid-points $D , E$ and $F$. Find the area of the shaded region (Use $\pi=3.14)$ (in $cm ^{2}$)
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 | $d.$ $A=\frac{\pi r^{2} \theta}{360}$ |
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