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Course / Category - Bank PO Prelims

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Banking And Insurance

Bank PO Prelims

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Banking And Insurance

Bank PO Prelims

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₹6800 ₹2000 +
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Self Learning

Available

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Maths, English, Verbal Reasoning, Non Verbal Reasoning, Computers, Banking, Critical Reasoning, Verbal Ability, Vedic Maths

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Maths / Mensuration / Arc Length of Sector

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Arc Length of Sector

Arc Length of Sector: Applying the unitary method and taking the whole length of the circle (of angle $360^{circ}$ ) as $2pi r$ , we can obtain the required length as

$length ;of ;an ;arc ;of; a; sector; of; angle;theta =frac{theta }{360}times 2pi r.$

Example: The perimeter of a certain sector of a circle of radius 5.6 m is 27.2 m. Find the arc length of sector.

Solution: r + r + l = 27.2

5.6+ 5.6 + l = 27.2

11.2+ l = 27.2

l = 27.2 - 11.2= 16 m

Example: Find the length of the arc of a sector subtending an angle of 60 degree at the centre. The Radius being 12 m.

Solution Let $theta ^{circ}$ be the angle subtended by the arc at the centre. We have

$l=frac{theta }{360}X 2pi r=frac{pi ;r;theta} {180}$

$l=frac{60 }{360}X 12=2m$

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Arc Length of Sector

₹6800 ₹2000 +
Taxes