Give me five mathematics questions on circles.

Question

jassingh1418 · Answer

This response includes five mathematics questions on circles involving area, circumference, tangent lengths, sector area, and inscribed circles. Each question is designed to help understand different properties and measurements related to circles. Solutions involve mathematical formulas and geometric principles. 
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jassingh1418 · Answer

Area and Circumference: A circle has a radius of 7 cm. Calculate its area and circumference. 
 Tangent and Radius: The length of a tangent from a point 13 cm away from the center of a circle is 12 cm. Find the radius of the circle. 
 Sector Area: A sector of a circle has a central angle of 45 degrees and a radius of 10 cm. Calculate the area of the sector. 
 Circle Inscribed in a Square: A square with a side length of 6 cm is inscribed in a circle. What is the radius of the circle? 
 Chord Length: A chord in a circle is 16 cm long and is 6 cm away from the center. Find the radius of the circle.

LucasMatthewHarris · Answer

Here are five mathematics questions related to circles: 
 
 Determining the Circumference: Calculate the circumference of a circle with a radius of 7 cm. Use the formula C = 2 π r , where C is the circumference and r is the radius. 
 
 Finding the Area: What is the area of a circle with a diameter of 10 meters? Use the formula A = π r 2 , where A is the area and r is the radius. Note that the radius is half of the diameter. 
 
 Radius from Circumference: If the circumference of a circle is 31.4 inches, find the radius of the circle. Use the formula for the circumference C = 2 π r and solve for r . 
 
 Equation of a Circle: Write the equation of a circle with a center at (3, -2) and a radius of 5 units. The general form of the equation of a circle is ( x − h ) 2 + ( y − k ) 2 = r 2 , where ( h , k ) is the center and r is the radius. 
 
 Arc Length: A circle has a radius of 8 cm. Find the length of an arc that subtends a central angle of 45 degrees. Use the formula Arc Length = 2 π r × 360 θ ​ , where r is the radius and θ is the central angle in degrees.

These problems cover various aspects of circle geometry including circumference, area, and properties of arcs and circle equations.

Give me five mathematics questions on circles.

Answer (3)

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