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HomeMathCompletely different Methods to Discover the Radius of a Circle

Completely different Methods to Discover the Radius of a Circle


The 4 other ways to seek out the radius of a circle are proven beneath:

  • Utilizing the central angle of a sector and the realm of the sector

The best way to discover the radius of a circle utilizing the diameter

In a circle, the radius is at all times half the size of its diameter.

r = d / 2

Instance #1:

Discover the radius if the diameter is 20 inches

r = d / 2 = 20 / 2 = 10

The radius is 10 inches.

The best way to discover the radius of a circle utilizing the circumference

The instance beneath illustrates clearly learn how to discover the radius of a circle when the circumference is thought.

Instance #2:

Suppose the circumference of a circle is 50.24 inches. Discover the radius, r.

find the radius of a circle given circumference

The radius is 8 inches when the circumference is 50.24 inches

The best way to discover the radius of a circle utilizing the realm

The method to seek out the realm of a circle is A = πr2

Instance #3:

Discover the radius if the realm of the circle is the same as 50 cm2

A = πr2

Substitute 50 for A 

50 = πr2

Substitute 3.14 for π

50 = 3.14r2

Divide either side of the equation by 3.14

50 ÷ 3.14 = (3.14 ÷ 3.14)r2

15.92 = (1)r2

15.92 = r2

r = √(15.92)

r = 3.98

The radius is 3.98 cm

The best way to discover the radius of a circle utilizing the central angle of a sector and the realm of the sector

The method to seek out the realm of a sector is A = (n0 / 3600)πr2

n0 is the measure of the central angle 

Instance #4:

Discover the radius if the central angle is 90 levels and the realm of the sector is the same as 19.63 cm2

A = (n0 / 3600)πr2

Substitute 19.63 for A 

19.63 = (n0 / 3600)πr2

Substitute 90 levels for n0 

19.63 = (900 / 3600)πr2

19.63 = (0.25)πr2

19.63 = 0.785r2

Divide either side by 0.785

19.63 ÷ 0.785 = (0.785 ÷ 0.785)r2

25.0063 = (1)r2

25.0063 = r2

r = √(25.0063)

r = 5


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