Semicircle and Quarter Circle Calculator

A semicircle is half of a full circle, with an angle of 180 degrees. Its area formula is (1/2)πr², and its circumference is πr + 2r. A quarter circle is one-fourth of a full circle, with an angle of 90 degrees. Its area formula is (1/4)πr². Both are geometric shapes derived from circles.

Semicircle and Quarter Circle Calculator

Radius: Calculate

Semicircle Area: Semicircle Circumference: Quarter Circle Area:

Property	Semicircle	Quarter Circle
Shape	Half of a full circle	One-fourth of a full circle
Central Angle	180 degrees	90 degrees
Area Formula	(1/2)πr²	(1/4)πr²
Circumference Formula	πr + 2r	(1/2)πd
Diameter Relation	Diameter of semicircle = 2 * Radius	Diameter of quarter circle = Radius
Perimeter (Arc Length)	πr + 2r	(1/4)πd
Total Perimeter (Arc Length)	πr + 2r	(1/2)πd

FAQs

What is the formula for a semicircle and a circle?

• The formula for the area of a circle is A = πr², where A is the area and r is the radius.
• The formula for the circumference (perimeter) of a circle is C = 2πr.

What is the formula for a quarter circle?

• The formula for the area of a quarter circle is one-fourth of the area of a full circle, so A = (1/4)πr².

How do I calculate the area of a semicircle?

• The formula for the area of a semicircle is half the area of a full circle, so A = (1/2)πr².

What is semicircle formula?

• The formula for the area of a semicircle is A = (1/2)πr², and the formula for the circumference of a semicircle is C = πr + 2r, where r is the radius.

What is the angle of a circle and semicircle?

• A full circle has an angle of 360 degrees, while a semicircle has an angle of 180 degrees.

How are the semicircle and the diameter of a circle related?

• The diameter of a circle is equal to twice the radius, and a semicircle is exactly half of a full circle, so the diameter of a semicircle is the same as the radius of the corresponding circle.

What is semicircle and quarter circle?

• A semicircle is half of a full circle, and a quarter circle is one-fourth of a full circle.

What is 1/4 of a circle called?

• One-fourth of a circle is called a quarter circle.

What does 1/4 look like in a circle?

• In a quarter circle, the angle at the center of the circle measures 90 degrees, and it covers one-fourth of the entire circle.

What is the formula for the diameter of a semicircle?

• The diameter of a semicircle is equal to twice the radius, so D = 2r.

How to find radius of a circle?

• To find the radius of a circle, you can use the formula r = √(A/π), where A is the area of the circle.

What is half of a semicircle?

• Half of a semicircle would be a quarter circle.

What are the formulas for circles?

• The formulas for circles are:
  • Area: A = πr²
  • Circumference: C = 2πr

What is the radius of a quarter circle?

• The radius of a quarter circle is the same as the radius of the corresponding full circle, which is denoted as “r.”

What is the formula for the arc length of a semicircle?

• The formula for the arc length of a semicircle is L = πr, where L is the arc length and r is the radius.

How many degrees is a quarter circle?

• A quarter circle measures 90 degrees.

What is the measure of angle in a semicircle?

• The measure of the central angle in a semicircle is 180 degrees.

How many degrees is a semicircle?

• A semicircle measures 180 degrees.

How do you find the circumference of a circle with a semicircle?

• The circumference of a circle with a semicircle is the same as the circumference of a full circle, so it is C = 2πr.

Is the equation of a circle and semicircle the same?

• The equations for a circle and a semicircle are not the same. A circle has a complete boundary, so its equation is C = 2πr for circumference and A = πr² for area. A semicircle, being half of a circle, has different equations, such as C = πr + 2r for circumference and A = (1/2)πr² for area.

What is the ratio of a semicircle to diameter?

• The ratio of the area of a semicircle to its diameter is 1:2.

What is a quarter of a semicircle called?

• A quarter of a semicircle would be one-eighth of a full circle.

Is a semicircle always a half circle?

• Yes, by definition, a semicircle is always exactly half of a full circle.

What is the difference between arc and semicircle?

• An arc is a part of the circumference of a circle, while a semicircle is half of a full circle, including its diameter.

What is an arc that is 1/4 of a circle?

• An arc that is one-fourth of a circle is a quarter-circle arc, and it measures 90 degrees.

Is a semicircle a quarter of a circle?

• No, a semicircle is half of a full circle, not a quarter.

What is 1/4 of a circle or 90 degrees of a circle called?

• 1/4 of a circle or 90 degrees of a circle is called a quarter-circle.

How do you find the circumference of a 1/4 circle?

• To find the circumference of a quarter-circle, you can use the formula C = (1/4)πd, where d is the diameter.

How much is one-fourth of a circle?

• One-fourth of a circle is 90 degrees or a quarter-circle.

How do you divide a circle into 1/4?

• To divide a circle into quarters, you can draw two perpendicular diameters that intersect at the center of the circle, creating four equal quadrants.

What is the radius of a semicircle?

• The radius of a semicircle is the same as the radius of the corresponding full circle and is denoted as “r.”

How do you find the radius of a circle without the diameter?

• To find the radius of a circle without the diameter, you need additional information, such as the circumference or the area of the circle. You can use the formulas r = C / (2π) for circumference or r = √(A / π) for area, where r is the radius, C is the circumference, and A is the area.

How do you find the radius of an arc length of a circle?

• To find the radius of an arc length of a circle, you would need the arc length and the measure of the central angle. You can use the formula r = (L / θ), where r is the radius, L is the arc length, and θ is the central angle in radians.

How do you find the radius and length of a circle?

• To find the radius and length of a circle, you need more information, such as the circumference or the area. Use the appropriate formulas mentioned earlier for radius and circumference or radius and area to calculate them.