Question

The circumference of a circle is 176cm.if the sectorial angle is 45° the area of sector in cm² is​

Answer 1

Answer: The area of sector in cm² is​ 308$cm^{2}$

Step-by-step explanation:

Perimeter(circumference) of circle=2πr

Given, the circumference of a circle is 176cm

The sectorial angle is 45

2πr=176

2x22/7xr=176

44/7=176

r=176x(7/44)

r=28

Hence, we get the radius is 28

Area of a sector of circle=(θ/360º) × π$r^{2}$

=45/360x22/7x$286^{2}$

=1/8x22/7x28x28

=308$cm^{2}$

Answer 2

Step-by-step explanation:

Solution

The circumference of circle is 2πr=176

=2×22/7×r=176

=r=176×7/22×1/2

=r=28 cm

Area of circle is πr square=22/7×28×28

=2464 cm square