Question : Find the length of the arc of the sector of a circle of diameter 7 cm with a central angle of $108^{\circ}$. [Use $\pi=\frac{22}{7}$]
Option 1: 6.6 cm
Option 2: 5.6 cm
Option 3: 13.2 cm
Option 4: 11.2 cm
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Correct Answer: 6.6 cm
Solution : Diameter of circle = 7 cm So, radius, $r$ = 3.5 cm Angle subtended by arc, $\theta$ = 180° We know, length of arc of a circle = $\frac{\theta}{360°}\times 2\pi r$ = $\frac{108°}{360°}\times 2\pi ×\frac{7}2 = 6.6$ cm Hence, the correct answer is 6.6 cm.
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Question : The area of the sector of a circle (in cm2) of radius 7 cm and central angle $60^{\circ}$ is: $\left(\right.$Take $\left.\pi=\frac{22}{7}\right)$
Question : The area of the sector of a circle of radius 12 cm is $32 \pi \;\mathrm{cm}^2$. Find the length of the corresponding arc of the sector.
Question : A circular arc whose radius is 4 cm makes an angle of 45º at the centre. Find the perimeter of the sector formed. (Take $\pi=\frac{22}{7}$)
Question : The area of a sector of a circle is 110 cm2 and the central angle of the sector is 56°, what is the circle's radius? (Take $\pi=\frac{22}{7}$)
Question : An arc on a circle, whose length is 19.25 cm, subtends an 18° angle at the centre. What is the area of the circle? [Use $\pi = \frac{22}{7}$]
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