What is the area of a section with a radius of 4.2 cm and a central angle of 60°, if π is approximated as 22/7?

4.2 سینٹی میٹر کے رداس اور 60° کے مرکزی زاویہ والے حصے کا رقبہ کیا ہے، اگر π کا تخمینہ 22/7 ہے؟

Answer: 9.24 cm²

To find the area of a section with a central angle of 60° and a radius of 4.2 cm, we can use the formula for the area of a sector of a circle:

Area of sector = (θ/360) * π * r^2

Where:

θ is the central angle in degrees

π is approximately 22/7

r is the radius of the circle

Given:

θ = 60°

π ≈ 22/7

r = 4.2 cm

Substituting the values into the formula:

Area of sector = (60/360) * (22/7) * (4.2)^2

= (1/6) * (22/7) * 17.64

≈ (1/6) * 22 * 2.52

≈ (11/3) * 2.52

≈ 9.24 cm²

Therefore, the area of the sector is approximately 9.24 square centimeters.

This question appeared in Past Papers (6 times)

HEC ETC Past Papers (3 times)

Higher Education Commission HEC Past Papers and Syllabus (3 times)

This question appeared in Subjects (1 times)

MATHS MCQS (1 times)

Related MCQs