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In a Circle of Radius 35 Cm, an Arc Subtends an Angle of 72° at the Centre. Find the Length of Arc and Area of Sector - Mathematics

In a circle of radius 35 cm, an arc subtends an angle of 72° at the centre. Find the length of arc and area of sector

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Solution

Radius (r) = 35 cm

𝜃 = angle subtended at centre = 72°

Length of arc =`theta/360^@`× 2𝜋𝑟

=`7/360× 2 ×22/7× 35`

= 2 × 22 = 44 CMS

Area of sector =`theta/360^@× pir^2`

`= 72/360×22/7× 35 × 35`

= (35 × 22) = 770 cm2

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APPEARS IN

RD Sharma Class 10 Maths
Chapter 13 Areas Related to Circles
Exercise 13.2 | Q 11 | Page 25
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