Question

If the following figure is a sector of a circle of radius 10.5 cm then find the perimeter of the sector

Answer 1

Answer:

31.99cm

Step-by-step explanation:

GIVEN:

radius=10.5cm

∠ACB=60°

Solution:

perimeter of sector=∠ACB/360°*circumference/perimeter of circle + 2*radius

=60/360 * π 21 +2*radius

=1/6 * 3.142 * 21 + 21

=31.997 cm

EXPLANATION:

we use 60/360 cause , its not a circle . In a circle the value is 360/360 as a circle have a full angle anyways the value become 1 so we don't consider it

while dealing with such figures use the proper logic of angle/360 cuz default value can vary according to angles

adding 2 times the radius-

the following default method for circumference give value ONLY of outer line but in this case we have AC and BC and AC=BC cuz both are radii of circle. SO remember to add them as well after using basic formula angle/360 * 2πr!

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Answer 2

hope it's help you......