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To find the area of a shaded sector, use the formula:

[ \text{Area} = \frac{\theta}{360} \times \pi r^2 ]

where (\theta) is the angle in degrees and (r) is the radius. In this case, with a radius of 12 and an angle of 1000 degrees, first reduce the angle by finding its equivalent angle within a full circle (1000 mod 360 = 280 degrees). Then, plug the values into the formula:

[ \text{Area} = \frac{280}{360} \times \pi \times 12^2 \approx 235.62 \text{ square units}. ]

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2d ago

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How do you find the area of the shaded area of the sector?

To find the area of the shaded sector, first determine the area of the entire circle using the formula (A = \pi r^2), where (r) is the radius of the circle. Next, find the fraction of the circle represented by the sector by dividing the central angle of the sector (in degrees) by 360 degrees or using the angle in radians divided by (2\pi). Multiply the area of the circle by this fraction to get the area of the shaded sector.


How do you find shaded sector?

To find the area of a shaded sector in a circle, you need to know the radius of the circle and the central angle of the sector in degrees or radians. The area of the entire circle is calculated using the formula ( A = \pi r^2 ). The area of the sector can then be found using the formula ( \text{Area of sector} = \frac{\theta}{360} \times \pi r^2 ) for degrees, or ( \text{Area of sector} = \frac{1}{2} r^2 \theta ) for radians, where ( \theta ) is the central angle. If you're looking for the shaded area specifically, simply ensure that the sector corresponds to the shaded region.


Find the area of the shaded sector round to the hundredth shaded sector is 155 the rest is 4.3?

To find the area of the shaded sector, we need to determine the total area represented by the shaded and non-shaded parts. If the shaded sector is 155 and the rest is 4.3, the total area is 155 + 4.3 = 159.3. The area of the shaded sector is already given as 155, so rounding it to the hundredth gives us 155.00.


What is the approximate area of the shaded area of the shaded sector 180 degrees?

To find the area of a shaded sector with a 180-degree angle, you can use the formula for the area of a sector: ( \text{Area} = \frac{\theta}{360} \times \pi r^2 ), where ( \theta ) is the angle in degrees and ( r ) is the radius. For a 180-degree sector, the formula simplifies to ( \text{Area} = \frac{1}{2} \pi r^2 ). Thus, the area of the shaded sector is half the area of the full circle with radius ( r ).


How do you find the are of the shaded sector?

To find the area of a shaded sector, you can use the formula ( A = \frac{\theta}{360} \times \pi r^2 ), where ( A ) is the area of the sector, ( \theta ) is the central angle of the sector in degrees, and ( r ) is the radius of the circle. If the angle is given in radians, the formula becomes ( A = \frac{1}{2} r^2 \theta ). Measure the radius and the angle, then apply the appropriate formula to calculate the area.

Related Questions

Find the area of the shaded sector of 10 degrees and a diameter 12?

find the area of the shaded sector 12cm and 24°


What is the area of the shaded sector if the circle has a radius of 3 and the central angle is 90 degrees?

Find the area of the shaded sector. radius of 3 ...A+ = 7.07


How do you find the area of the shaded area of the sector?

To find the area of the shaded sector, first determine the area of the entire circle using the formula (A = \pi r^2), where (r) is the radius of the circle. Next, find the fraction of the circle represented by the sector by dividing the central angle of the sector (in degrees) by 360 degrees or using the angle in radians divided by (2\pi). Multiply the area of the circle by this fraction to get the area of the shaded sector.


How do you find shaded sector?

To find the area of a shaded sector in a circle, you need to know the radius of the circle and the central angle of the sector in degrees or radians. The area of the entire circle is calculated using the formula ( A = \pi r^2 ). The area of the sector can then be found using the formula ( \text{Area of sector} = \frac{\theta}{360} \times \pi r^2 ) for degrees, or ( \text{Area of sector} = \frac{1}{2} r^2 \theta ) for radians, where ( \theta ) is the central angle. If you're looking for the shaded area specifically, simply ensure that the sector corresponds to the shaded region.


Find the area of the shaded sector round to the hundredth shaded sector is 155 the rest is 4.3?

To find the area of the shaded sector, we need to determine the total area represented by the shaded and non-shaded parts. If the shaded sector is 155 and the rest is 4.3, the total area is 155 + 4.3 = 159.3. The area of the shaded sector is already given as 155, so rounding it to the hundredth gives us 155.00.


What is the approximate area of the shaded area of the shaded sector 180 degrees?

To find the area of a shaded sector with a 180-degree angle, you can use the formula for the area of a sector: ( \text{Area} = \frac{\theta}{360} \times \pi r^2 ), where ( \theta ) is the angle in degrees and ( r ) is the radius. For a 180-degree sector, the formula simplifies to ( \text{Area} = \frac{1}{2} \pi r^2 ). Thus, the area of the shaded sector is half the area of the full circle with radius ( r ).


Find the area of the shaded sector if the sector is ten degrees and the diameter is 12?

area of whole circle = pi * radius squared = 3.14159 * 36 = 113.1area of sector = 113.1 * ( 10 / 360 ) = 3.14159 sq units


How do you find the are of the shaded sector?

To find the area of a shaded sector, you can use the formula ( A = \frac{\theta}{360} \times \pi r^2 ), where ( A ) is the area of the sector, ( \theta ) is the central angle of the sector in degrees, and ( r ) is the radius of the circle. If the angle is given in radians, the formula becomes ( A = \frac{1}{2} r^2 \theta ). Measure the radius and the angle, then apply the appropriate formula to calculate the area.


What is the approximate area of the shaded sector in the circle below 18cm?

To find the area of a shaded sector in a circle, you need the radius and the angle of the sector. Assuming the radius of the circle is 18 cm, the area of the entire circle is given by the formula (A = \pi r^2), which equals approximately (1017.88 , \text{cm}^2). If you know the angle of the sector in degrees, you can calculate the area of the sector using the formula (A_{sector} = \frac{\theta}{360} \times A_{circle}), where (\theta) is the angle of the sector. Without the angle, I cannot provide the exact area of the shaded sector.


Find the area of the shaded sector when the radius is 12 and the not shaded is 100?

To find the area of the shaded sector, we first need to determine the area of the entire circle with a radius of 12, which is calculated using the formula (A = \pi r^2). Thus, the area of the entire circle is (A = \pi (12^2) = 144\pi). If the not shaded area is 100, the area of the shaded sector is then (144\pi - 100). Therefore, the area of the shaded sector is approximately (144\pi - 100) square units.


How to find area of a shaded area of a shaded region in a circle?

The area of the shaded region can be gotten by multiplying the area of the circle by the subtended angle of the sector.


What is the area of the shaded sector 12 and 100?

To find the area of a shaded sector, you typically need the radius and the angle of the sector in degrees or radians. However, your question provides two numbers, 12 and 100, without context. Assuming 12 is the radius and 100 is the angle in degrees, the area of the sector can be calculated using the formula ( \text{Area} = \frac{\theta}{360} \times \pi r^2 ). Plugging in the values, the area would be approximately 25.13 square units.