Answer:
The radius of the circle is 6.7 cm.
Step-by-step explanation:
2a = 9 cm
a = 9/2 cm
a = 4.5 cm
Using the Pythagorean Theorem we have:
r^2 = a^2 + 5^2
r^2 = 4.5^2 + 5^2
r = 6.7 cm
The radius of the circle is 6.7 cm.
Hope it helps!!!
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considering the distance between the center of the circle and the chord is perpendicular, pythagorean theorem can be applied to calculate the radius of the circle.
[tex]r^2=a^2+b^2[/tex] , r=radius, a=half of the chord length, b the distance between the center of the circle and the center of the chord
[tex]r^2=(4.5cm)^2+(5cm)^2\\r^2=20.25cm^2+25cm^2\\r^2=45.25cm^2\\r=\sqrt{45.25cm^2}\\r=6.7268cm[/tex]
