The radius of a circle is $3.5\,cm .$ The area of the minor sector formed by two perpendicular radii of that circle is $\ldots \ldots \ldots . cm ^{2}$.

  • A

    $19.25$

  • B

    $9.625$

  • C

    $38.5$

  • D

    $77$

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The maximum area of a triangle inscribed in a semicircle having radius $10\,cm$ is $\ldots \ldots \ldots . . cm ^{2} .$

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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 $d.$ $A=\frac{\pi r^{2} \theta}{360}$