Question

If the radius of the sector given below is 2 ft, then the area is sq. ft. (round off to 2 decimal places)

[Take 𝛑 = 3.14]

• A. 1.57
• B. 2.09
• C. 12.56
• D. 6.28

Answer 1

The correct option is B 2.09

We know,
Area of whole cirlce = $𝛑r^2$
$=3.14\times 2\times 2$
$=12.56sq.ft$

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

$\therefore \text{For 60° central angle, Area =}𝛑r^2\times \frac{60}{360}$

$=\frac{12.56}{6}$

$=2.093sq.ft$

$=2.09sq.ft$

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> ∴ The area of the given sector is 2.09 sq. ft