the length of the minor and major arcs of a circle are 5.2 cm and 19.8 respectively. find
a)the radius of the circle
b)the angle subtended at the centre by the minor arc
Answers
Answer:
Step-by-step explanation:
sum of major arc + minor arc = circumference
if r = radius, then
2*pi*r = 19.8+5.2
2 pi R = 25 cm
R = 25 /(2*pi)
= 3.98 cm =
= 4 cm [approx]
ii.
acute angle = (360/25)*5.2
= 74.88 degree
Radius of Circle = 4 cm & angle subtended at the centre by the minor arc = 74.88° if the length of the minor and major arcs of a circle are 5.2 cm and 19.8 respectively
Step-by-step explanation:
the length of the minor and major arcs of a circle are 5.2 cm and 19.8 respectively
As we know that Sum of Major & Minor arc = Circumference
Circumference = 5.2 + 19.8
=> Circumference = 25 cm
Circumference = 2 * π * R
R = Radius of circle
=> 2 * 3.14 * R = 25
=> R ≈ 4 cm
the angle subtended at the center by the minor arc
= (Minor arc / Circumference) * 360°
= (5.2/25) * 360
= 74.88°
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