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High School: Geometry

Equation of the Biggest Circle

Directions: Fill in the blanks with integers (including negatives) that meet the following requirements: The equation’s graph is a circle. The circle has the biggest area The circle is completely inside the first quadrant The circle’s radius is a whole number 1 through 9. Source: Nanette Johnson

Longest Chord in a Circle

Directions: What is the longest chord in a circle that has an area of 25π square units? Source: Nanette Johnson

Make the Biggest Circle

Directions: Using the whole numbers 1 – 9 as many times as you like, make the biggest circle by filling in the blanks below: Source: Robert Kaplinsky

Which Circle Is Bigger? (High School)

Directions: Which circle is bigger?  Circle A with an area of 25 square units or Circle B with the equation x^2 + y^2 = 25 Source: Robert Kaplinsky

Directions: What is the least number of geometric markings to show that a quadrilateral is a kite? Source: Nanette Johnson

Directions: What is the least number of geometric markings needed to demonstrate that a quadrilateral is a square? Source: A collaborative effort of Jose De La Torre and Nanette Johnson answer by Ricardo Navarro with help from Robert Kaplinsky

Directions: What is the area of the smallest square that could fit around (circumscribed about) a circle with area 100π square units? Source: Nanette Johnson