# GMAT Quant Questions | Geometry #14

#### Area of a Circle | Concentric Circles | GMAT Sample Questions

This GMAT Math practice question is a Solid Geometry (Mensuration) question: Concept: Area of circle.

Question 14: The length of a rope, to which a cow is tied, is increased from 19 m to 30 m. How much additional ground will it be able to graze? Assume that the cow is able to move on all sides with equal ease. Use π = $$frac{22}{7}$ in your calculations. 1. 1696 sq m 2. 1694 sq m 3. 1594 sq m 4. 1756 sq.m 5. 1896 sq.m ## Get to Q51 in GMAT Quant #### Online GMAT Course From INR 3000 ### Video Explanation ## GMAT Live Online Classes #### Starts Thu, Sep 21, 2023 ### Explanatory Answer | GMAT Geometry The cow can graze the area covered by the circle of radius 19 m initially, because the length of the rope is 19 m. Area of a circle = π ×$radius)2
Therefore, the initial area that the cow can graze = $$frac{22}{7}$ × 192 sq m. When the length of the rope is increased to 30 m, grazing area becomes = $\frac{22}{7}$ * 302 sq m. The additional area it could graze when length is increased from 19 m to 30 m = $\frac{22}{7}$ ×$302 - 192) sq m.
$$frac{22}{7}$ ×$30 + 19)(30 - 19) = $$frac{22}{7}$ × 49 × 11 = 1694 sq m. #### Choice B is the correct answer. #### GMAT Online CourseTry it free! Register in 2 easy steps and Start learning in 5 minutes! #### Already have an Account? #### GMAT Live Online Classes Next Batch Sep 21, 2023 ##### Where is Wizako located? Wizako - GMAT, GRE, SAT Prep An Ascent Education Initiative 14B/1 Dr Thirumurthy Nagar 1st Street Nungambakkam Chennai 600 034. India Work @ Wizako ##### How to reach Wizako? Mobile:$91) 95000 48484
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