Determine THE CIRCUMFERENCE AND AREA OF CIRCLES Including, but not limited to: Positive rational numbers the set of numbers that can be expressed as a fraction , where a and b are whole numbers and b 0, which includes the – ≠ subsets of whole numbers and counting (natural) numbers (e.g., 0, 2, etc.). Various forms of positive rational numbers Whole numbers Decimals (less than or greater than one) Fractions (proper, improper, and mixed numbers) Circle A figure formed by a closed curve with all points equal distance from the center No straight sides No vertices No parallel or, perpendicular sides Diameter a line segment whose endpoints are on the circle and passes through the center of the circle – Radius a line segment drawn from the center of a circle to any point on the circle and is half the length of diameter of the circle – Semicircle half of a circle – Quarter circle one-fourth of a circle – Circumference a linear measurement of the distance around a circle – Positive rational number dimensions Pi (π) the ratio of the circumference to the diameter of a circle – π 3.14 or ≈ Formulas for circumference from STAAR Grade 7 Mathematics Reference Materials Circumference using the radius of a circle C = 2πr, where C represents the circumference of the circle and r represents the radius of the circle, and π is approximately 3.14 or Ex: Circumference using the diameter of a circle C = πd, where C represents the circumference of the circle, d represents the diameter of the circle, and π is approximately 3.14 or Ex: Area the measurement attribute that describes the number of square units a figure or region covers – Area is a two-dimensional square unit measure. Positive rational number dimensions Formula for area of a circle from STAAR Grade 7 Mathematics Reference Materials Area
Determine THE CIRCUMFERENCE AND AREA OF CIRCLES Including, but not limited to: Positive rational numbers – the set of numbers that can be expressed as a fraction , where a and b are whole numbers and b ≠ 0, which includes the subsets of whole numbers and counting (natural) numbers (e.g., 0, 2, etc.). Various forms of positive rational numbers Whole numbers Decimals (less than or greater than one) Fractions (proper, improper, and mixed numbers) Circle A figure formed by a closed curve with all points equal distance from the center No straight sides No vertices No parallel or, perpendicular sides Diameter – a line segment whose endpoints are on the circle and passes through the center of the circle Radius – a line segment drawn from the center of a circle to any point on the circle and is half the length of diameter of the circle Semicircle – half of a circle Quarter circle – one-fourth of a circle Circumference – a linear measurement of the distance around a circle Positive rational number dimensions Pi (π) – the ratio of the circumference to the diameter of a circle π ≈ 3.14 or Formulas for circumference from STAAR Grade 7 Mathematics Reference Materials Circumference using the radius of a circle C = 2πr, where C represents the circumference of the circle and r represents the radius of the circle, and π is approximately 3.14 or Ex: Circumference using the diameter of a circle C = πd, where C represents the circumference of the circle, d represents the diameter of the circle, and π is approximately 3.14 or Ex: Area – the measurement attribute that describes the number of square units a figure or region covers Area is a two-dimensional square unit measure. Positive rational number dimensions Formula for area of a circle from STAAR Grade 7 Mathematics Reference Materials Area