Thursday

November 27, 2014

November 27, 2014

Posted by **Fred** on Wednesday, May 2, 2012 at 9:00pm.

Suppose an artist has a circular picture with a diameter 6 inches which she wishes to frame by a uniform width frame with covers 1/2 inch width uniformity of the painting and has total area equal to that of the exposed painted surface when the frame is in place.

- College Algebra/Geometry -
**bobpursley**, Wednesday, May 2, 2012 at 9:24pmIs there a question here?

- College Algebra/Geometry -
**Fred**, Wednesday, May 2, 2012 at 9:26pmWhat size should the frame be?

- College Algebra/Geometry -
**Steve**, Thursday, May 3, 2012 at 12:04amif the frame is width w, then it covers 1/2 inch of painting plus w outside the painting.

pi(3-.5)^2 = pi((3+w)^2 - (3^2-2.5^2))

25/4 = w^2 + 6w + 9 - (9-25/4)

w^2 + 6w = 0

solve that for w, and you get w=0

so, the border is just 1/2 inch wide, and does not extend outside the painting.

**Answer this Question**

**Related Questions**

calculus - What size should be the frame be? Suppose an artist has a circular ...

Math - An artist wishes to frame a picture with 84 inches of framing material. ...

Algebra 0110 College - 1) A rectangle has perimeter 38 feet and an area of 78 ...

College Algebra - If the length of molding to create the frame is 96 inches. If ...

Math - You are using glass tiles to make a picture frame for a square photograph...

algebra 2 - you are using tiles to make a picture frame for a square photograph ...

10th grade math - a rectangular picture 8 inches by 12 inches has a frame of ...

College Algebra - A picture frame has a total perimeter of 2 meters. The height ...

Geometry - Math - A picture measures 20 cm x 25 cm. The width of the matting and...

Math - a picture 8 in. by 12 in. is placed in a frame which has a uniform width...