1) To find the area of the shaded region (which is a sector), use the formula for the area of the sector:
Given that and , apply the values to the formula:
Therefore, the area of the shaded region is 9π cm² or approximately 28.26 cm² (assuming π = 3.14).
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2) Refer to attached photo. Connect point and to form
Notice that the area of the shaded region is equal to the area of the sector minus the area of
Let's compute the area of the sector first. To find the area of a sector, we use the formula:
In this case, and Substitute the values the formula:
Now, let's compute for the area of We know that the length of two of the sides of the triangle are 5 cm and 5 cm, and the included angle of these sides measures 100°, thus we can use the area formula of a triangle with given two lengths and the included angle.
The area formula of a triangle with given two lengths and included angle is expressed below:
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Answer:
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Answer:
1) To find the area of the shaded region (which is a sector), use the formula for the area of the sector:
Given that
and
, apply the values to the formula:
Therefore, the area of the shaded region is 9π cm² or approximately 28.26 cm² (assuming π = 3.14).
ㅤ
2) Refer to attached photo. Connect point
and
to form ![\triangle BMW. \triangle BMW.](https://tex.z-dn.net/?f=%5Ctriangle%20BMW.)
Notice that the area of the shaded region is equal to the area of the sector minus the area of
Let's compute the area of the sector first. To find the area of a sector, we use the formula:
In this case,
and
Substitute the values the formula:
Now, let's compute for the area of
We know that the length of two of the sides of the triangle are 5 cm and 5 cm, and the included angle of these sides measures 100°, thus we can use the area formula of a triangle with given two lengths and the included angle.
The area formula of a triangle with given two lengths and included angle is expressed below:
Substitute
,
and ![C=100^{\circ} C=100^{\circ}](https://tex.z-dn.net/?f=C%3D100%5E%7B%5Ccirc%7D)
Thus, the area of the shaded region is:
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