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

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

Answer: The area of the shaded sector of the circle is A = (θ / 2) × r2 where θ is in radians or (θ / 360) × πr2 where θ is in degrees.

How do you find the area of a sector with the radius and central angle?

The formula for sector area is simple – multiply the central angle by the radius squared, and divide by 2: Sector Area = r² * α / 2.

What is the area of a sector of a circle with a radius of 8 inches?

25.13 inch2
Answer: The area of the sector of the circle with a radius of 8 inches and an angle of 45 degrees is 25.13 inch2.

What is the area of the sector not shaded?

It will have rock paths to create individual sections that form sectors. The area of a sector of flowers is , and the length of a rock path (or radius) is r = 6 yd. Find the angle formed between 2 rock paths. Analyze the diagram below and complete the instructions that follow.

What is the area of the shaded region?

The area of the shaded region is the difference between the area of the entire polygon and the area of the unshaded part inside the polygon. The area of the shaded part can occur in two ways in polygons.

What is the area of a sector?

The area of a sector is the region enclosed by the two radii of a circle and the arc. In simple words, the area of a sector is a fraction of the area of the circle.

What is the area of minor sector?

5. What is the area of the minor sector? Ans: If the central angle of the minor sector is θ then, the formula of the minor sector is =θ360∘×πr2 where r is the radius of the circle.

What is the area of a semi circle?

The area of a semicircle can be calculated using the length of radius or diameter of the semicircle. The formula to calculate the area of the semicircle is given as, Area = πr2/2 = πd2/8, where ‘r’ is the radius, and ‘d’ is the diameter.

What is area of the shaded part?

How do we find the radius of a circle?

Let us use these formulas to find the radius of a circle.

1. When the diameter is known, the formula for the radius of a circle is: Radius = Diameter / 2.
2. When the circumference is known, the formula for the radius is: Radius = Circumference / 2π

What is the area of the sector inside a central angle?

In a circle of radius r, the area A of the sector inside a central angle θ is A = 1 2 r2 θ, where θ is measured in radians.

How do you find the area of the sector of a circle?

In other words, again using radian measure, area of sector area of entire circle = sector angle one revolution ⇒ A πr2 = θ 2π . In a circle of radius r , the area A of the sector inside a central angle θ is where θ is measured in radians. A = 1 2 r2 θ = 1 2 (4)2 ⋅ π 5 = 8π 5 cm2 .

How do you find the full angle of a circle?

You can find it by using proportions, all you need to remember is circle area formula (and we bet you do!): The area of a circle is calculated as A = πr². This is a great starting point. The full angle is 2π in radians, or 360° in degrees, the latter of which is the more common angle unit.

What is a sector in physics?

A sector is the region bounded by a central angle and its intercepted arc, such as the shaded region in Figure 4.3.1. Let θ be a central angle in a circle of radius r and let A be the area of its sector. Similar to arc length, the ratio of A to the area of the entire circle is the same as the ratio of θ to one revolution.