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In the following questions, two statements (i) and (ii) are given. Choose the valid statement. i. The diagonals of a rhombus are 20 cm and 12 cm. Its area will be 240 cm^2. - Mathematics

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Question

In the following questions, two statements (i) and (ii) are given. Choose the valid statement.

  1. The diagonals of a rhombus are 20 cm and 12 cm. Its area will be 240 cm2.
  2. Circumference of a circle of radius r is πr2.

Options

  • Only (i)

  • Only (ii)

  • Both (i) and (ii)

  • Neither (i) nor (ii)

MCQ
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Solution

Neither (i) nor (ii)

Explanation:

(i) Area of a rhombus = `1/2` × product of diagonals. 

Here, Area = `1/2 xx 20 xx 12` = 120 cm2, not 240 cm2.

(ii) Circumference of a circle = 2πr, while πr2 is the area of the circle; so the statement is incorrect.

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Chapter 16: Mensuration - Exercise 16E [Page 347]

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Nootan Mathematics [English] Class 9 ICSE
Chapter 16 Mensuration
Exercise 16E | Q 2. | Page 347
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