Draw concentric circles for the following measurements of radii / diameters. Find out the width of the circular ring. r = 3 cm and r = 5 cm.
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Answer:
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Step-by-step explanation:
(i) r = 3 cm and r = 5 cm. Width of the circular ring = OB – OA = 5 – 3 = 2 cm Step 1: Drawn a rough diagram and market the given measurements Step 2: Taken any point O and marked it as center. Step 3: With O as center drawn a circle of radius OA = 3 cm. Step 4: With O as center drawn a circle of radius OB = 5 cm. Thus concentric circles C1 and C2 are drawn. Width of the circular ring = OB – OA = 5 – 3 = 2 cm (ii) r = 3.5 cm and r = 6.5 cm Step 1: Drawn a rough diagram and market the given measurements Step 2: Taken any point O and marked it as the center. Step 3: With O as center drawn a circle of radius OA = 3.5 cm. Step 4: With O as center drawn a circle of radius OB = 6.5 cm. Thus the concentric circles C1 and C2 are drawn. Width of the circular ring = OB – OA = 6.5 – 3.5 = 3 cm (iii) d = 6.4 cm and d = 11.6 cm r = d2d2 r = 6.426.42 = 3.2 cm; r = 11.6211.62 = 5.8 cm Step 1: Drawn a rough diagram and market the given measurements Step 2: Taken any point O and marked it as the center. Step 3: With O as center drawn a circle of radius OA =3.2 cm. Step 4: With O as center and drawn a circle of radius OB = 5.8 cm. Thus the concentric circles C1 and C2 are drawn. Width of the circular ring = OB – OA = 5.8 – 3.2 = 2.6 cm (iv) r = 5 cm and r = 7.5 cm Step 1: Drawn a rough diagram and market the given measurements Step 2: Taken any point O and marked it as the center. Step 3: With O as center drawn a circle of radius OA = 5 cm. Step 4: With O as center drawn a circle of radius OB = 7.5 cm. Thus the concentric circles C1 and C2 are drawn. Width of the circular ring = OB – OA = 7.5 – 5 = 2.5 cm (v) d = 6.2 cm and r = 6.2 cm. r = d2d2 ∴ r = 6.226.22 = 3.1 cm and r = 6.2 cm Step 1: Drawn a rough diagram and market the given measurements Step 2: Taken any point O and marked it as the center. Step 3: With O as center, drawn a circle of radius OA = 3.1 cm. Step 4: With O as center, drawn a circle of radius OB = 6.2 cm. Thus the concentric circles C1 and C2 are drawn. Width of the circular ring = OB – OA = 6.2 – 3.1 = 3.1 cm (vi) r = 7.1 cm and d = 12 cm. r = d2d2 ∴ r = 122122 = 6 cm and r = 7.1 cm Step 1: Drawn a rough diagram and marked the given measurements Step 2: Taken any point O and marked it as center. Step 3: With O as center, drawn a circle of radius OA = 6 cm. Step 4: With O as center, drawn a circle of radius OB = 7.1 cm. Thus concentric circles C1 and C2 are drawn. Width of the circular ring = OB – OA = 7.1 – 6 = 1.1