Two concentric circles with radii p cm and (p+ 2) cm are drawn on a pa

1.	Two concentric circles with radii p cm and (p+ 2) cm are drawn on a paper. The difference between their areas is 44 sq. cm What is the value of p?(Take π = \(\frac{22}{7}\))1. 1.52. 53. 64. 2.5
Answer» Correct Answer - Option 4 : 2.5 Given: difference between areas is 44 sq. cm radii = p cm and (p+2) cm Formula Used: Area of Circle = π.r² Calculation: π.R² - π.r² = 44 ⇒π(R² - r²) = 44 ⇒22/7{(R + r)(R - r)} = 44 ⇒{(p+2+p)(p+2-p)} = 14 ⇒(2p + 2)2 = 14 ⇒2p+ 2 = 7 ⇒2p = 5 ∴ The value of p is 2.5

Two concentric circles with radii p cm and (p+ 2) cm are drawn on a paper. The difference between their areas is 44 sq. cm What is the value of p?(Take π = \(\frac{22}{7}\))1. 1.52. 53. 64. 2.5

Answer» Correct Answer - Option 4 : 2.5

Given:

difference between areas is 44 sq. cm

radii = p cm and (p+2) cm

Formula Used:

Area of Circle = π.r²

Calculation:

π.R² - π.r² = 44

⇒π(R² - r²) = 44

⇒22/7{(R + r)(R - r)} = 44

⇒{(p+2+p)(p+2-p)} = 14

⇒(2p + 2)2 = 14

⇒2p+ 2 = 7

⇒2p = 5

∴ The value of p is 2.5

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Two concentric circles with radii p cm and (p+ 2) cm are drawn on a paper. The difference between their areas is 44 sq. cm What is the value of p?(Take π = \(\frac{22}{7}\))1. 1.52. 53. 64. 2.5

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