Question

The area of the given sector, of radius 1 ft is sq. ft. (round off to 2 decimal places).
[Take 𝛑 = 3.14]

• A. 2.09
• B. 3.14
• C. 1.31
• D. 1.57

Answer 1

The correct option is C 1.31

$\text{Area of cirlce =}𝛑r^2$
$=3.14\times 1\times 1$
$=3.14sq.ft$

For 360° central angle, Area = $𝛑r^2$
For 1° central angle, Area = $𝛑r^2\times \frac{1}{360}$

For 150° central angle,
$\text{Area =}𝛑r^2\times \frac{150}{360}$

$=3.14\times \frac{150}{360}$

$=1.308sq.ft$

$=1.31sq.ft$