Answer:
50.24 cm
Step-by-step explanation:
Radius and Diameter:
r = d/2
d = 2r
Area of a circle:
A = πr2 = πd2/4
Circumference of a circle:
C = 2πr = πd
Circle Calculations:
Using the formulas above and additional formulas you can calculate properties of a given circle for any given variable.
Calculate A, C and d | Given r
Given the radius of a circle calculate the area, circumference and diameter. Putting A, C and d in terms of r the equations are:
A=πr2
C=2πr
d=2r
Calculate r, C and d | Given A
Given the area of a circle calculate the radius, circumference and diameter. Putting r, C and d in terms of A the equations are:
r=Aπ−−√
C=2πr=2πAπ−−√
d=2r=2Aπ−−√
Calculate A, r and d | Given C
Given the circumference of a circle calculate the radius, area and diameter. Putting A, r and d in terms of C the equations are:
r=C2π
A=πr2=π(C2π)2=πC24π2=C24π
d=2r=2C2π=Cπ
Calculate A, C and r | Given d
Given the diameter of a circle calculate the radius, area and circumference. Putting A, C and r in terms of d the equations are:
r=d2
A=πr2=π(d2)2=πd24
C=2πr=2πd2=πd