Find the radius and diameter of the circle
with given the circumference.
a. 44 cm b. 35.2 cm
c. 39 cm d. 31.5 cm
Answers
Step-by-step explanation:
a. Let the radius be x cm.
Circumference = 44 cm
We know,
Circumference = 2πr
=> 2πr = 44
=> 2 × 22/7 × r = 44
=> 44/7 × r = 44
=> r = 44 × 7/44
=> r = 7 cm
Radius = 7 cm
Diameter = 2 × Radius
= 2 × 7 cm
= 14 cm
b.) Let the radius be r cm.
Circumference = 35.2 cm
We know,
Circumference = 2πr
=> 35.2 = 2 × 22/7 × r
=> 35.2 × 7/44 = r
=> 5.6 = r
Radius = 5.6 cm
Diameter = 2 × 5.6 cm
= 11.2 cm
c.) Let the radius be r cm.
Circumference = 39 cm
We know,
Circumference = 2πr
=> 39 = 2 × 22/7 × r
=> 39 × 7/44 = r
=> 6.204 = r
Radius = 6.204 cm
Diameter = 2 × 6.204 cm
= 12.408 cm
d.) Let the radius be r cm.
Circumference = 31.5 cm
We know,
Circumference = 2πr
=> 31.5 = 2 × 22/7 × r
=> 31.5 × 7/44 = r
=> 5.011 = r
Radius = 5.011 cm
Diameter = 2 × 5.011 cm
= 10.022 cm
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Answer:
must help you!
Step-by-step explanation:
a) Given data,
circumference=44cm
radius =?
Circumference of circle=2*22/7*r
44/2=22/7*r
22*7/22=r
r=7cm
b) Given data,
circumference=35.2
radius=?
circumference of circle=2*22/7*r
35.2/2=22/7*r
17.6*7/22=r
r=56cm
c) Given data,
circumference=39cm
radius=?
Circumference of circle=2*22/7*r
39/2=22/7*r
19.8*7/22=r
r=63cm
d) Given data,
circumference=31.5
radius=?
circumference of circle=2*22/7*r
31.5*7/2*22=r
r=49.455cm