3. Two wire circles of diameters 28 cm and 35 cm are cut and then joined to form a big circle of radius
k cm. Find the value of k.
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Answer:
The radius, k , is 31.5 cm
Step-by-step explanation:
Find the circumference of the circle with diameter 28 cm:
Circumference = πD
= π(28)
= 28π cm
Find the circumference of the circle with diameter 35 cm:
Circumference = πD
= π(35)
= 35π cm
Find the Circumference of the big circle:
Total length = 28π + 35π
= 63π cm
Find the Diameter:
Diameter = Circumference ÷ π
= 63π ÷ π
= 63 cm
Find the radius:
Radius = Diameter ÷ 2
= 63 ÷ 2
= 31.5 cm
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