The length of the radius will be 22 units.
<h3>What is the radius?</h3>The radius of a circle is defined as the distance of the center of the circle to its outer layer. It is a locus of a point present at some distance from the center point.
Now from the question, we have an expression:
By solving the above equation we get
Hence the length of the radius will be 22 units.
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Answer:
Area of rectangle PLUM = 75.00 square units
Step-by-step explanation:
Since diagonal of rectangle divides the rectangle into two equal triangles,
Therefore, area of the rectangle PLUM = 2× area of triangle PLM
By the mean proportional theorem,
In ΔPLM,
AP² = AM × AL
6² = AM × 8
AM =
AM = 4.5 units
Area of PLM =
=
=
= 12.5 × 3
= 37.5 units²
Now area of rectangle PLUM = 2×37.5 = 75 units²
Therefore, area of the rectangle is 75.00 square units.