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The Perimeter of a Sector of a Circle of Radius 5.6 Cm is 27.2 Cm. Find the Area of the Sector. - Mathematics

Sum

The perimeter of a sector of a circle of radius 5.6 cm is 27.2 cm. Find the area of the sector.

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Solution

Let O be the centre of the circle with radius 5.6 cm and OACB be its sector with perimeter 27.2 cm.

Thus, we have:

OA + OB + arc AB = 27.2

⇒ 5.6 + 5.6 + arc AB = 27.2

⇒  arc AB = 16 cm

Now,

Area of the sector OACBO` = (1/2xx"Radius"xxl)"square Units"`

`=(1/(2)5.6xx16)"cm"^20`

= 44.8 cm

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APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 18 Area of Circle, Sector and Segment
Formative Assessment | Q 8 | Page 852
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