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3 years ago

What is the answer to this question please help

Mathematics

1 answer:

mihalych1998 [28]3 years ago

4 0

Answer:

a. area = 1.745 cm²

b. mass = 319 mg

Step-by-step explanation:

a. The area of a sector is given by ...

A = (1/2)r²θ . . . . . where r is the radius, and θ is the central angle in radians

The area of one of these sectors is ...

A = (1/2)(2 cm)²(50π/180) ≈ 1.745 cm²

b. The mass of the sector is proportional to the central angle. When the angle is 360°, all of the mass is included. Here, each sector is only 50°, so the proportion is 50/360 of the mass, or ...

mass = (2.3 g)(50/360) = 0.3194444... g ≈ 319 mg

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A rectangle is placed around a semicircle as shown below. The length of the rectangle is 8 cm. Find the area of the shaded regio

icang [17]

Answer:

Area of the shaded region = 6.88 cm²

Step-by-step explanation:

Area of the shaded region = Area of the rectangle - Area of the semicircle

Area of the rectangle = Length × Width

Length of the rectangle = AD = 8 cm

Width of the rectangle = OP = 4 cm [OP, OB and OC are the radii of the circle which are equal in measures]

Area of the rectangle = 8 × 4 = 32 cm²

Area of the semicircle = $\frac{1}{2}\pi r^{2}$

= $\frac{1}{2}\pi (OP)^{2}$

= $\frac{1}{2}\pi (4)^{2}$

= 25.12 cm²

Area of the shaded region = 32 - 25.12

= 6.88 cm²

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WARRIOR [948]

Answer:

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Step-by-step explanation:

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2 years ago

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makvit [3.9K]

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3 years ago