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ololo11 [35]
3 years ago
6

You have a pan with a radius of 16 centimeters. if the cooking instructions say to cover the entire bottom of the pan with butte

r, how many square centimeters must the butter cover?
Mathematics
1 answer:
Leno4ka [110]3 years ago
4 0
Radius of the pan = 16cm

Formula for area of circle:
           
                   \boxed { \boxed { \text {Area of a circle =}  \pi r^2}}

Find the area of the pan:

                   \text {Area of the pan =} \pi (16)^2 = 804.25 \ cm^2

\boxed { \boxed {\text {Answer : The butter must cover 804.25 cm}^2}}


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2) Fill in an angle measure greater than 100 degrees for the missing angle in yellow below. You will fill
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Answer:

m∠a = 110°

m∠b = 110°

m∠c = 70°

m∠d = 70°

m∠i = 110°

m∠h = 110°

m∠j = 70°

m∠g = 110°

m∠f = 70°

m∠e = 70°

m∠k = 57°

m∠m = 70°

m∠l = 167°

Step-by-step explanation:

Let the measure of the yellow angle = 110°

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m∠a = 110°  by vertically opposite angles

m∠b = m∠a = 110° by opposite interior angles of a parallelogram

m∠c = 180° - 110° = 70° by same side interior angles

m∠d = m∠c = 70° by opposite interior angles of a parallelogram

m∠i and m∠c are supplementary angles, therefore, m∠i = 110°

m∠h = m∠i = 110° by vertically opposite angles

m∠j = m∠c = 70° by vertically opposite angles

m∠g and m∠d are supplementary angles, therefore, m∠g = 110°

m∠f = m∠d = 70° by alternate interior angles

m∠f = m∠e = 70° by vertically opposite angles

m∠k = 180° - (m∠h + 13°) = 180° - (110° + 13°) = 57°

m∠b and m∠m are supplementary angles, therefore, m∠m = 70°

m∠l and 13° are supplementary angles, therefore, m∠l = 167°

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