Question

PLEASE HELP ME I LITERALLY CANT FIGURE THIS OUT

the answer isnt 196.350.

plssssss anyone help

Answer 1

Answer:

A ≈ 23.56 in²

Step-by-step explanation:

The shaded area (A) is calculated as

A = area of circle × fraction of circle

The central angle, subtended by the arc = 360° - 225° = 135° , then

A = 2πr × $\frac{135}{360}$ ( r is the radius ) , here r = 10 in

A = 2π × 10 × $\frac{3}{8}$

  = 20π × $\frac{3}{8}$

  = $\frac{60\pi }{8}$

  ≈ 23.56 in² ( to 2 decimal places )

Answer 2

Answer:

$37.5\pi \textsf{ or } 117.81$ square inches

Step-by-step explanation:

To find the area of the shaded sector in the circle, we can use the formula for the area of a sector:

$\Large\boxed{\boxed{ \textsf{Area of sector} = \dfrac{\textsf{Central angle}}{360°} \times \pi r^2}}$

Given:

• Radius ($r$) = 10 inches
• Central angle for the unshaded sector = $225°$

First, find the central angle for the shaded sector:

$\textsf{Central angle for the shaded sector} = 360° - 225°$

$\textsf{Central angle for the shaded sector} = 135°$

Now, use the formula for the area of a sector to find the area of the shaded sector:

$\textsf{Area of shaded sector} = \dfrac{135°}{360°} \times \pi (10)^2$

Simplify the expression:

$\textsf{Area of shaded sector} = \dfrac{135}{360} \times 100\pi$

Reduce the fraction:

$\textsf{Area of shaded sector} = \dfrac{3}{8} \times 100\pi$

Calculate the area:

$\textsf{Area of shaded sector} = \dfrac{300\pi}{8}$

$\textsf{Area of shaded sector} = 37.5\pi$

$\textsf{Area of shaded sector} = 117.8097245$

$\textsf{Area of shaded sector} = 117.81\textsf{ inches}^2 \textsf{(rounded to nearest hundredth)}$

So, the area of the shaded sector in the circle is $37.5\pi \textsf{ or } 117.81$ square inches.