Question

The perimeter of a sector is 25cm and if the length of the are is 4 more than its radius , then its area(in em
यदि एक त्रिज्यखंड का परिमाप 25 सेमी है एवं यदि चाप की लंबाई, त्रिज्या से अधिक है, तब इसका क्षेत्रफल (सेमी में)
• 38.5
36.5​

Answer 1

Step-by-step explanation:

since area of circle=25π sq.cm

⇒πr

2

=25π

⇒r=5cm

and perimeter of sector=20 cm

⇒2r+s=20

⇒2.5+s=20

⇒s=10 cm

where s = arc lenth of sector

∵θ=

r

s

=

5

10

=2

area of sector=

360

o

θ

.πr

2

=

2π

2

.π5

2

=25 cm

2