The radius of a circle is $3.5\,cm .$ The area of the minor sector formed by two perpendicular radii of that circle is $\ldots \ldots \ldots . cm ^{2}$.
$19.25$
$9.625$
$38.5$
$77$
The maximum area of a triangle inscribed in a semicircle having radius $10\,cm$ is $\ldots \ldots \ldots . . cm ^{2} .$
The wheel of a motor cycle is of radius $35\, cm$. How many revolutions per minute must the wheel make so as to keep a speed of $66\, km / h ?$
The area of a minor sector of $\odot( P , 30)$ is $300 \,cm ^{2} .$ The length of the arc corresponding to it is ...........$cm .$
In a circle with radius $6 \,cm ,$ the area of a sector corresponding to an arc of length $12 \,cm$ is $\ldots \ldots \ldots cm ^{2}$.
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 | $d.$ $A=\frac{\pi r^{2} \theta}{360}$ |