Question

Find the perimeter of a sector of angle 45° of a circle with radius 7 cm
please answer fast ​

Answer 1

Answer:

19.5 cm

Step-by-step explanation:

Given:

θ=45∘

radius=7cm

We know that:

angle=arc lengthradius

⟹arc length=angle×radius

⟹arc length=π4×7

⟹arc length=5.5cm

Hence, Perimeter of a sector of angle 45∘ will be,

2r+arc length

=14+5.5

=19.5cm

Answer 2

Total angle of circle =360°

Angle of the sector=45°

We see that area of circle =1/8 times sector

so circumference of circle⭕ = 1/8 of its circumference i.e.arc if the sector

Circumference of circle = 2×pi×7

=2×22/7×7

=44

1/8 of 44 =5.5 cm

so perimeter of sector =7+7+5.5=19.5