Math, asked by eriifejoyademuyiwa, 10 months ago

An arc of a circle of radius 13cm subtends angle 105 degrees at the center, calculate the length of arc, the perimeter of the sector and the area of the sector

Answers

Answered by arindambhatt987641
7

23.8 = arc length

perimeter   = 49.8 cm  

area = 154.77 cm²

Step-by-step explanation:

2 π r (Ф /360) = arc

2 π *13 (105/360 )= arc

23.8 = arc length

Perimeter of sector  = arc length + 2 r

                      =  23.8 cm + 2 * 13

                    = 23.8 + 26

                 = 49.8 cm  

area  = (Ф / 360 ) π *r*r

          = 105 /360 * 3.14 *13*13

      = 154.77 cm²

Answered by londhepournima2004
5

The length of an arc is = theta/360 x 2 π r

Given that a circle of radius 15 CM

Theta = 105°

To find 1st. Length of an arc

2nd. Perimeter of the corresponding sector (Length of an arc + 2 x r)

3rd. Area of the corresponding sector (Theta/360 x π r^2)

1st. Length of an arc = Theta/360 x 2 x π x r

=> 105/360 x 22/7 x 13

=> 11.91 cm...

2nd. Perimeter of the sector = Length of an arc + 2 x r

=> 11.91cm + 2 x 13cm

=> 37.91cm...

3rd. Area of the sector = Theta/360 x π x r^2

=> 105/360 x 22/ 7 x 13 x 13

=> 154.91cm^2

Hope you understood...

Thank you...

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