1.

3. Two wire circles of diameters 28 cm and 35 cm are cut and then joined to form a big circle of radiusk cm. Find the value of k.

Answer»

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

Answer: The radius, k , is 31.5 cm



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