Question

10
select the correct answer from each drop - down menu.
in a circle with a radius of 7 feet, the radian measure of the central angle subtended by an arc with a length of 4 feet is. the area of
the sector formed by the arc is square feet.
assume π = 3.14, and round your answers to the nearest hundredth.
28
1.75
0.57
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Explanation:

Step1: Find central angle (radians)

Use arc length formula $s = r\theta$, solve for $\theta$:
$\theta = \frac{s}{r} = \frac{4}{7} \approx 0.57$

Step2: Calculate sector area

Use sector area formula $A = \frac{1}{2}r^2\theta$:
$A = \frac{1}{2} \times 7^2 \times \frac{4}{7} = \frac{1}{2} \times 7 \times 4 = 14$
(Alternatively, use $A = \frac{1}{2}sr = \frac{1}{2} \times 4 \times 7 = 14$)

Answer:

The radian measure of the central angle is $\boldsymbol{0.57}$.
The area of the sector formed by the arc is $\boldsymbol{14}$ square feet.