Inscribed Square in Circle - Square Area to Circle Area

Level 1

This math topic focuses on calculating the area of a circle with an inscribed square. Problems are given where the area of the square is known, and students are asked to determine the area of the circle. Seven questions are presented, each with a different square area (4, 9, 16, 25, 36, 49, 64). Each question has multiple-choice answers represented in various mathematical expressions and forms involving square roots, powers, and π (pi). The knowledge and skills practiced here include understanding geometric relationships and applying algebraic formulas to find areas.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Inscribed Square in Circle - Square Area to Circle Area

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Find the area of the circle that has a square inscribed with area 36

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Inscribed Square in Circle - Square Area to Circle Area Worksheet

Math worksheet on 'Inscribed Square in Circle - Square Area to Circle Area (Level 1)'. Part of a broader unit on 'Inscribed Squares and Circles - Intro' Learn online: app.mobius.academy/math/units/inscribed_squares_and_circles_intro/

Find the area of the circle that has a square inscribed with area 36

An svg image showing a math problem

a $A LaTex expression showing \frac{{18} to the power of 2 }{2}Pi$

b $A LaTex expression showing \frac{{36} to the power of 2 }{2}Pi$

A LaTex expression showing {12 over 2 } to the power of 2 Pi

A LaTex expression showing 2square root of 72 over 2

A LaTex expression showing 2square root of 72 over 2Pi

A LaTex expression showing {(square root of 18)} to the power of 2 Pi

Find the area of the circle that has a square inscribed with area 64

An svg image showing a math problem

A LaTex expression showing 4square root of 16

A LaTex expression showing 2square root of 16 over 2

c $A LaTex expression showing \frac{{64} to the power of 2 }{2}Pi$

A LaTex expression showing 64 over Pi

A LaTex expression showing {128 over 2 } to the power of 2 Pi

f $A LaTex expression showing \frac{{32} to the power of 2 }{2}Pi$

Find the area of the circle that has a square inscribed with area 25

An svg image showing a math problem

a $A LaTex expression showing \frac{{12} to the power of 2 }{2}Pi$

b $A LaTex expression showing \frac{{25} to the power of 2 }{2}Pi$

A LaTex expression showing {(square root of 50)} to the power of 2 Pi

A LaTex expression showing 13 over Pi

A LaTex expression showing {13 over 2 } to the power of 2 Pi

A LaTex expression showing 10Pi

Find the area of the circle that has a square inscribed with area 16

An svg image showing a math problem

a $A LaTex expression showing \frac{{16} to the power of 2 }{2}Pi$

A LaTex expression showing {32 over 2 } to the power of 2 Pi

A LaTex expression showing {8 over 2 } to the power of 2 Pi

A LaTex expression showing 8 over 2 square root of 2

e $A LaTex expression showing \frac{{8} to the power of 2 }{2}Pi$

A LaTex expression showing 8Pi

Find the area of the circle that has a square inscribed with area 9

An svg image showing a math problem

A LaTex expression showing 6

A LaTex expression showing 5 over Pi

c $A LaTex expression showing \frac{{9} to the power of 2 }{2}Pi$

A LaTex expression showing {(square root of 9)} to the power of 2 Pi

A LaTex expression showing {9 over 2 } to the power of 2 Pi

f $A LaTex expression showing \frac{{4} to the power of 2 }{2}Pi$

Find the area of the circle that has a square inscribed with area 49

An svg image showing a math problem

a $A LaTex expression showing \frac{{49} to the power of 2 }{2}Pi$

b $A LaTex expression showing \frac{{24} to the power of 2 }{2}Pi$

A LaTex expression showing 4square root of 49

A LaTex expression showing 2square root of 98 over 2Pi

A LaTex expression showing 4square root of 14

A LaTex expression showing 25Pi

Find the area of the circle that has a square inscribed with area 4

An svg image showing a math problem

A LaTex expression showing 2 over Pi

A LaTex expression showing {(square root of 4)} to the power of 2 Pi

A LaTex expression showing 2square root of 4 over 2

d $A LaTex expression showing \frac{{2} to the power of 2 }{2}Pi$

e $A LaTex expression showing \frac{{4} to the power of 2 }{2}Pi$

A LaTex expression showing 4 over Pi